2525701728 has 144 divisors (see below), whose sum is σ = 7361722368. Its totient is φ = 757574400.

The previous prime is 2525701643. The next prime is 2525701753. The reversal of 2525701728 is 8271075252.

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 23 ways as a sum of consecutive naturals, for example, 1195393 + ... + 1197503.

It is an arithmetic number, because the mean of its divisors is an integer number (51123072).

Almost surely, 2^2525701728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2525701728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680861184).

2525701728 is an abundant number, since it is smaller than the sum of its proper divisors (4836020640).

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

2525701728 is a wasteful number, since it uses less digits than its factorization.

2525701728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 39.

The square root of 2525701728 is about 50256.3600751189. The cubic root of 2525701728 is about 1361.8439750459.

The spelling of 2525701728 in words is "two billion, five hundred twenty-five million, seven hundred one thousand, seven hundred twenty-eight".