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2421317440 = 265191013943
BaseRepresentation
bin1001000001010010…
…0101111101000000
320020202010200002201
42100110211331000
514424324124230
61040133122544
7114000600343
oct22024457500
96222120081
102421317440
1110328526a3
12576a89454
132c7840919
1418d80c45a
15e28875ca
hex90525f40

2421317440 has 112 divisors (see below), whose sum is σ = 6130869120. Its totient is φ = 908236800.

The previous prime is 2421317411. The next prime is 2421317441. The reversal of 2421317440 is 447131242.

It is a junction number, because it is equal to n+sod(n) for n = 2421317399 and 2421317408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2421317441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 612109 + ... + 616051.

Almost surely, 22421317440 is an apocalyptic number.

2421317440 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 2421317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065434560).

2421317440 is an abundant number, since it is smaller than the sum of its proper divisors (3709551680).

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

2421317440 is a wasteful number, since it uses less digits than its factorization.

2421317440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4080 (or 4070 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 2421317440 is about 49206.8840712354. The cubic root of 2421317440 is about 1342.8182757942.

Adding to 2421317440 its reverse (447131242), we get a palindrome (2868448682).

It can be divided in two parts, 242131 and 7440, that added together give a triangular number (249571 = T706).

The spelling of 2421317440 in words is "two billion, four hundred twenty-one million, three hundred seventeen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 101 152 160 190 202 304 320 380 404 505 608 760 808 1010 1216 1520 1616 1919 2020 3040 3232 3838 3943 4040 6080 6464 7676 7886 8080 9595 15352 15772 16160 19190 19715 30704 31544 32320 38380 39430 61408 63088 74917 76760 78860 122816 126176 149834 153520 157720 252352 299668 307040 315440 374585 398243 599336 614080 630880 749170 796486 1198672 1261760 1498340 1592972 1991215 2397344 2996680 3185944 3982430 4794688 5993360 6371888 7566617 7964860 11986720 12743776 15133234 15929720 23973440 25487552 30266468 31859440 37833085 60532936 63718880 75666170 121065872 127437760 151332340 242131744 302664680 484263488 605329360 1210658720 2421317440