2509145800 has 48 divisors (see below), whose sum is σ = 6667162560. Its totient is φ = 860278080.

The previous prime is 2509145783. The next prime is 2509145813. The reversal of 2509145800 is 85419052.

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, 894724 + ... + 897523.

It is an arithmetic number, because the mean of its divisors is an integer number (138899220).

Almost surely, 2^2509145800 is an apocalyptic number.

2509145800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2509145800 is an abundant number, since it is smaller than the sum of its proper divisors (4158016760).

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

2509145800 is a wasteful number, since it uses less digits than its factorization.

2509145800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792270 (or 1792261 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 2509145800 is about 50091.3745069947. The cubic root of 2509145800 is about 1358.8618288830.

The spelling of 2509145800 in words is "two billion, five hundred nine million, one hundred forty-five thousand, eight hundred".