2543152800 has 72 divisors (see below), whose sum is σ = 8277970176. Its totient is φ = 678173440.

The previous prime is 2543152739. The next prime is 2543152813. The reversal of 2543152800 is 82513452.

2543152800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 527424 + ... + 532223.

It is an arithmetic number, because the mean of its divisors is an integer number (114971808).

Almost surely, 2^2543152800 is an apocalyptic number.

2543152800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2543152800 is an abundant number, since it is smaller than the sum of its proper divisors (5734817376).

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

2543152800 is a wasteful number, since it uses less digits than its factorization.

2543152800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059670 (or 1059657 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 2543152800 is about 50429.6817360570. The cubic root of 2543152800 is about 1364.9732850438.

The spelling of 2543152800 in words is "two billion, five hundred forty-three million, one hundred fifty-two thousand, eight hundred".