2752512500 has 72 divisors (see below), whose sum is σ = 6375388824. Its totient is φ = 1036160000.

The previous prime is 2752512487. The next prime is 2752512527. The reversal of 2752512500 is 52152572.

It can be written as a sum of positive squares in 12 ways, for example, as 2745340816 + 7171684 = 52396^2 + 2678^2 .

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, 206024 + ... + 218976.

It is an arithmetic number, because the mean of its divisors is an integer number (88547067).

Almost surely, 2^2752512500 is an apocalyptic number.

2752512500 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 2752512500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187694412).

2752512500 is an abundant number, since it is smaller than the sum of its proper divisors (3622876324).

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

2752512500 is a wasteful number, since it uses less digits than its factorization.

2752512500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12999 (or 12977 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 29.

The square root of 2752512500 is about 52464.3926868500. The cubic root of 2752512500 is about 1401.4462096227.

The spelling of 2752512500 in words is "two billion, seven hundred fifty-two million, five hundred twelve thousand, five hundred".