2565416160 has 288 divisors, whose sum is σ = 9142398720. Its totient is φ = 654336000.

The previous prime is 2565416143. The next prime is 2565416171. The reversal of 2565416160 is 616145652.

2565416160 is a `hidden beast` number, since 2 + 56 + 541 + 6 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4508356 + ... + 4508924.

It is an arithmetic number, because the mean of its divisors is an integer number (31744440).

Almost surely, 2^2565416160 is an apocalyptic number.

2565416160 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 2565416160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4571199360).

2565416160 is an abundant number, since it is smaller than the sum of its proper divisors (6576982560).

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

2565416160 is a wasteful number, since it uses less digits than its factorization.

2565416160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2565416160 is about 50649.9374135842. The cubic root of 2565416160 is about 1368.9448177067.

It can be divided in two parts, 25654 and 16160, that added together give a palindrome (41814).

The spelling of 2565416160 in words is "two billion, five hundred sixty-five million, four hundred sixteen thousand, one hundred sixty".