2124874400 has 72 divisors (see below), whose sum is σ = 5658950304. Its totient is φ = 772678400.

The previous prime is 2124874391. The next prime is 2124874459. The reversal of 2124874400 is 44784212.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 111932 + ... + 129531.

It is an arithmetic number, because the mean of its divisors is an integer number (78596532).

Almost surely, 2^2124874400 is an apocalyptic number.

2124874400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2124874400 is an abundant number, since it is smaller than the sum of its proper divisors (3534075904).

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

2124874400 is a wasteful number, since it uses less digits than its factorization.

2124874400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241494 (or 241481 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 32.

The square root of 2124874400 is about 46096.3599430584. The cubic root of 2124874400 is about 1285.6154651855.

The spelling of 2124874400 in words is "two billion, one hundred twenty-four million, eight hundred seventy-four thousand, four hundred".