2506752000 has 432 divisors, whose sum is σ = 9569268072. Its totient is φ = 629145600.

The previous prime is 2506751999. The next prime is 2506752071. The reversal of 2506752000 is 2576052.

It can be written as a sum of positive squares in 4 ways, for example, as 1090584576 + 1416167424 = 33024^2 + 37632^2 .

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, 147455992 + ... + 147456008.

Almost surely, 2^2506752000 is an apocalyptic number.

2506752000 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 2506752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4784634036).

2506752000 is an abundant number, since it is smaller than the sum of its proper divisors (7062516072).

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

2506752000 is an frugal number, since it uses more digits than its factorization.

2506752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2506752000 is about 50067.4744719563. The cubic root of 2506752000 is about 1358.4295598041.

The spelling of 2506752000 in words is "two billion, five hundred six million, seven hundred fifty-two thousand".