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2426067540 = 22325133832707
BaseRepresentation
bin1001000010011010…
…1101101001010100
320021002002000000100
42100212231221110
514432033130130
61040423014100
7114056143131
oct22046555124
96232060010
102426067540
1110354a74a6
1257859a330
132c8814a30
141902c7588
15e2ec4c60
hex909ada54

2426067540 has 144 divisors (see below), whose sum is σ = 7948781568. Its totient is φ = 595406592.

The previous prime is 2426067509. The next prime is 2426067547. The reversal of 2426067540 is 457606242.

2426067540 is a `hidden beast` number, since 2 + 4 + 2 + 606 + 7 + 5 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2426067495 and 2426067504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2426067547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 894867 + ... + 897573.

It is an arithmetic number, because the mean of its divisors is an integer number (55199872).

Almost surely, 22426067540 is an apocalyptic number.

2426067540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2426067540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3974390784).

2426067540 is an abundant number, since it is smaller than the sum of its proper divisors (5522714028).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2426067540 is a wasteful number, since it uses less digits than its factorization.

2426067540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3118 (or 3113 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2426067540 is about 49255.1270427760. The cubic root of 2426067540 is about 1343.6958083356.

The spelling of 2426067540 in words is "two billion, four hundred twenty-six million, sixty-seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 383 390 468 585 766 780 1149 1170 1532 1915 2298 2340 2707 3447 3830 4596 4979 5414 5745 6894 7660 8121 9958 10828 11490 13535 13788 14937 16242 17235 19916 22980 24363 24895 27070 29874 32484 34470 35191 40605 44811 48726 49790 54140 59748 68940 70382 74685 81210 89622 97452 99580 105573 121815 140764 149370 162420 175955 179244 211146 224055 243630 298740 316719 351910 422292 448110 487260 527865 633438 703820 896220 1036781 1055730 1266876 1583595 2073562 2111460 3110343 3167190 4147124 5183905 6220686 6334380 9331029 10367810 12441372 13478153 15551715 18662058 20735620 26956306 31103430 37324116 40434459 46655145 53912612 62206860 67390765 80868918 93310290 121303377 134781530 161737836 186620580 202172295 242606754 269563060 404344590 485213508 606516885 808689180 1213033770 2426067540