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2540673264 = 243322116433
BaseRepresentation
bin1001011101101111…
…1001100011110000
320120001201120111210
42113123321203300
520200403021024
61100035240120
7116650236453
oct22733714360
96501646453
102540673264
111094164478
125aaa49040
133164a057c
141a15db49a
15ed0b2129
hex976f98f0

2540673264 has 40 divisors (see below), whose sum is σ = 6565843152. Its totient is φ = 846576640.

The previous prime is 2540673253. The next prime is 2540673269. The reversal of 2540673264 is 4623760452.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540673269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146392 + ... + 162824.

Almost surely, 22540673264 is an apocalyptic number.

2540673264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2540673264 is an abundant number, since it is smaller than the sum of its proper divisors (4025169888).

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

2540673264 is a wasteful number, since it uses less digits than its factorization.

2540673264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19665 (or 19659 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The square root of 2540673264 is about 50405.0916475707. The cubic root of 2540673264 is about 1364.5295312721.

The spelling of 2540673264 in words is "two billion, five hundred forty million, six hundred seventy-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 3221 6442 9663 12884 16433 19326 25768 32866 38652 49299 51536 65732 77304 98598 131464 154608 197196 262928 394392 788784 52930693 105861386 158792079 211722772 317584158 423445544 635168316 846891088 1270336632 2540673264