2587952160 has 384 divisors, whose sum is σ = 9699782400. Its totient is φ = 642170880.

The previous prime is 2587952149. The next prime is 2587952167. The reversal of 2587952160 is 612597852.

2587952160 is a `hidden beast` number, since 2 + 58 + 79 + 521 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2587952167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9620506 + ... + 9620774.

It is an arithmetic number, because the mean of its divisors is an integer number (25259850).

Almost surely, 2^2587952160 is an apocalyptic number.

2587952160 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 2587952160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4849891200).

2587952160 is an abundant number, since it is smaller than the sum of its proper divisors (7111830240).

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

2587952160 is a wasteful number, since it uses less digits than its factorization.

2587952160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 2587952160 is about 50871.9191696166. The cubic root of 2587952160 is about 1372.9416536796.

The spelling of 2587952160 in words is "two billion, five hundred eighty-seven million, nine hundred fifty-two thousand, one hundred sixty".