2511825988 has 24 divisors (see below), whose sum is σ = 5025392064. Its totient is φ = 1076124000.

The previous prime is 2511825949. The next prime is 2511825989. The reversal of 2511825988 is 8895281152.

2511825988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2511825988² = 12618539587984352288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2511825989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76263 + ... + 104113.

It is an arithmetic number, because the mean of its divisors is an integer number (209391336).

Almost surely, 2^2511825988 is an apocalyptic number.

2511825988 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2511825988 is an abundant number, since it is smaller than the sum of its proper divisors (2513566076).

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

2511825988 is a wasteful number, since it uses less digits than its factorization.

2511825988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31083 (or 31081 counting only the distinct ones).

The product of its digits is 460800, while the sum is 49.

The square root of 2511825988 is about 50118.1203558154. The cubic root of 2511825988 is about 1359.3454873959.

The spelling of 2511825988 in words is "two billion, five hundred eleven million, eight hundred twenty-five thousand, nine hundred eighty-eight".