2527525920 has 192 divisors, whose sum is σ = 8430428160. Its totient is φ = 634752000.

The previous prime is 2527525919. The next prime is 2527525937. The reversal of 2527525920 is 295257252.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1741195 + ... + 1742645.

It is an arithmetic number, because the mean of its divisors is an integer number (43908480).

Almost surely, 2^2527525920 is an apocalyptic number.

2527525920 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 2527525920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215214080).

2527525920 is an abundant number, since it is smaller than the sum of its proper divisors (5902902240).

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

2527525920 is a wasteful number, since it uses less digits than its factorization.

2527525920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 2527525920 is about 50274.5056663912. The cubic root of 2527525920 is about 1362.1717607868.

The spelling of 2527525920 in words is "two billion, five hundred twenty-seven million, five hundred twenty-five thousand, nine hundred twenty".