2409974900 has 36 divisors (see below), whose sum is σ = 5232126060. Its totient is φ = 963532800.

The previous prime is 2409974851. The next prime is 2409974951. The reversal of 2409974900 is 94799042.

2409974900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 341362576 + 2068612324 = 18476^2 + 45482^2 .

It is a congruent number.

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, 274580 + ... + 283220.

It is an arithmetic number, because the mean of its divisors is an integer number (145336835).

Almost surely, 2^2409974900 is an apocalyptic number.

2409974900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2409974900 is an abundant number, since it is smaller than the sum of its proper divisors (2822151160).

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

2409974900 is a wasteful number, since it uses less digits than its factorization.

2409974900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11444 (or 11437 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 44.

The square root of 2409974900 is about 49091.4951901040. The cubic root of 2409974900 is about 1340.7182048786.

The spelling of 2409974900 in words is "two billion, four hundred nine million, nine hundred seventy-four thousand, nine hundred".