2575256544 has 288 divisors, whose sum is σ = 8894188800. Its totient is φ = 722615040.

The previous prime is 2575256533. The next prime is 2575256569. The reversal of 2575256544 is 4456525752.

2575256544 is a `hidden beast` number, since 2 + 5 + 7 + 52 + 56 + 544 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2575256544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2497309 + ... + 2498339.

It is an arithmetic number, because the mean of its divisors is an integer number (30882600).

Almost surely, 2^2575256544 is an apocalyptic number.

2575256544 is a gapful number since it is divisible by the number (24) 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 2575256544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4447094400).

2575256544 is an abundant number, since it is smaller than the sum of its proper divisors (6318932256).

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

2575256544 is a wasteful number, since it uses less digits than its factorization.

2575256544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1102 counting only the distinct ones).

The product of its digits is 1680000, while the sum is 45.

The square root of 2575256544 is about 50746.9855656471. The cubic root of 2575256544 is about 1370.6929103583.

The spelling of 2575256544 in words is "two billion, five hundred seventy-five million, two hundred fifty-six thousand, five hundred forty-four".