2587440160 has 24 divisors (see below), whose sum is σ = 6112827756. Its totient is φ = 1034976000.

The previous prime is 2587440157. The next prime is 2587440169. The reversal of 2587440160 is 610447852.

It can be written as a sum of positive squares in 2 ways, for example, as 2563194384 + 24245776 = 50628^2 + 4924^2 .

It is a super-3 number, since 3×2587440160³ (a number of 29 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2587440169) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8085591 + ... + 8085910.

Almost surely, 2^2587440160 is an apocalyptic number.

2587440160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2587440160 is an abundant number, since it is smaller than the sum of its proper divisors (3525387596).

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

2587440160 is a wasteful number, since it uses less digits than its factorization.

2587440160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16171516 (or 16171508 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 2587440160 is about 50866.8866749283. The cubic root of 2587440160 is about 1372.8511068630.

The spelling of 2587440160 in words is "two billion, five hundred eighty-seven million, four hundred forty thousand, one hundred sixty".