2525261760 has 168 divisors, whose sum is σ = 9926762976. Its totient is φ = 577198080.

The previous prime is 2525261749. The next prime is 2525261779. The reversal of 2525261760 is 671625252.

2525261760 is a `hidden beast` number, since 2 + 525 + 2 + 61 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42471 + ... + 82790.

Almost surely, 2^2525261760 is an apocalyptic number.

2525261760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2525261760 is an abundant number, since it is smaller than the sum of its proper divisors (7401501216).

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

2525261760 is a wasteful number, since it uses less digits than its factorization.

2525261760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125291 (or 125278 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2525261760 is about 50251.9826474538. The cubic root of 2525261760 is about 1361.7648943746.

The spelling of 2525261760 in words is "two billion, five hundred twenty-five million, two hundred sixty-one thousand, seven hundred sixty".