2495525760 has 960 divisors, whose sum is σ = 11466211680. Its totient is φ = 503635968.

The previous prime is 2495525749. The next prime is 2495525789. The reversal of 2495525760 is 675255942.

2495525760 is a `hidden beast` number, since 2 + 49 + 552 + 57 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 108501109 + ... + 108501131.

Almost surely, 2^2495525760 is an apocalyptic number.

2495525760 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 2495525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5733105840).

2495525760 is an abundant number, since it is smaller than the sum of its proper divisors (8970685920).

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

2495525760 is a wasteful number, since it uses less digits than its factorization.

2495525760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 2495525760 is about 49955.2375632426. The cubic root of 2495525760 is about 1356.3986610742.

The spelling of 2495525760 in words is "two billion, four hundred ninety-five million, five hundred twenty-five thousand, seven hundred sixty".