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2640557040 = 2435111000211
BaseRepresentation
bin1001110101100011…
…1011001111110000
320211000200012021220
42131120323033300
520401440311130
61114004145040
7122302236012
oct23530731760
96730605256
102640557040
111135586650
12618398180
133310a31b4
141b099c1b2
15106c42410
hex9d63b3f0

2640557040 has 80 divisors (see below), whose sum is σ = 8929892736. Its totient is φ = 640134400.

The previous prime is 2640557009. The next prime is 2640557107. The reversal of 2640557040 is 407550462.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2640556992 and 2640557010.

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, 497466 + ... + 502745.

Almost surely, 22640557040 is an apocalyptic number.

2640557040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2640557040 is an abundant number, since it is smaller than the sum of its proper divisors (6289335696).

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

2640557040 is a wasteful number, since it uses less digits than its factorization.

2640557040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000238 (or 1000232 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 2640557040 is about 51386.3507168976. The cubic root of 2640557040 is about 1382.1818457863.

The spelling of 2640557040 in words is "two billion, six hundred forty million, five hundred fifty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 1000211 2000422 3000633 4000844 5001055 6001266 8001688 10002110 11002321 12002532 15003165 16003376 20004220 22004642 24005064 30006330 33006963 40008440 44009284 48010128 55011605 60012660 66013926 80016880 88018568 110023210 120025320 132027852 165034815 176037136 220046420 240050640 264055704 330069630 440092840 528111408 660139260 880185680 1320278520 2640557040