2525653760 has 144 divisors (see below), whose sum is σ = 7028841792. Its totient is φ = 851558400.

The previous prime is 2525653747. The next prime is 2525653763. The reversal of 2525653760 is 673565252.

It is not an unprimeable number, because it can be changed into a prime (2525653763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 544250 + ... + 548870.

Almost surely, 2^2525653760 is an apocalyptic number.

2525653760 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 2525653760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3514420896).

2525653760 is an abundant number, since it is smaller than the sum of its proper divisors (4503188032).

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

2525653760 is an equidigital number, since it uses as much as digits as its factorization.

2525653760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4710 (or 4696 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 41.

The square root of 2525653760 is about 50255.8828397234. The cubic root of 2525653760 is about 1361.8353536339.

The spelling of 2525653760 in words is "two billion, five hundred twenty-five million, six hundred fifty-three thousand, seven hundred sixty".