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2480640 = 29351719
BaseRepresentation
bin1001011101101000000000
311200000210120
421131220000
51113340030
6125100240
730041121
oct11355000
94600716
102480640
111444818
129b7680
1368b146
14488048
15340010
hex25da00

2480640 has 160 divisors (see below), whose sum is σ = 8838720. Its totient is φ = 589824.

The previous prime is 2480617. The next prime is 2480663. The reversal of 2480640 is 460842.

2480640 = T57 + T58 + ... + T246.

It is an interprime number because it is at equal distance from previous prime (2480617) and next prime (2480663).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2480640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130551 + ... + 130569.

It is an arithmetic number, because the mean of its divisors is an integer number (55242).

22480640 is an apocalyptic number.

2480640 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 2480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4419360).

2480640 is an abundant number, since it is smaller than the sum of its proper divisors (6358080).

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

2480640 is a wasteful number, since it uses less digits than its factorization.

2480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2480640 is about 1575.0047618976. The cubic root of 2480640 is about 135.3696317387.

The spelling of 2480640 in words is "two million, four hundred eighty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 19 20 24 30 32 34 38 40 48 51 57 60 64 68 76 80 85 95 96 102 114 120 128 136 152 160 170 190 192 204 228 240 255 256 272 285 304 320 323 340 380 384 408 456 480 510 512 544 570 608 640 646 680 760 768 816 912 960 969 1020 1088 1140 1216 1280 1292 1360 1520 1536 1615 1632 1824 1920 1938 2040 2176 2280 2432 2560 2584 2720 3040 3230 3264 3648 3840 3876 4080 4352 4560 4845 4864 5168 5440 6080 6460 6528 7296 7680 7752 8160 8704 9120 9690 9728 10336 10880 12160 12920 13056 14592 15504 16320 18240 19380 20672 21760 24320 25840 26112 29184 31008 32640 36480 38760 41344 43520 48640 51680 62016 65280 72960 77520 82688 103360 124032 130560 145920 155040 165376 206720 248064 310080 413440 496128 620160 826880 1240320 2480640