2124472464 has 135 divisors (see below), whose sum is σ = 6252754963. Its totient is φ = 673311936.

The previous prime is 2124472451. The next prime is 2124472489. The reversal of 2124472464 is 4642744212.

The square root of 2124472464 is 46092.

It is a perfect power (a square), and thus also a powerful number.

2124472464 is a `hidden beast` number, since 2 + 124 + 4 + 72 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12721309 + ... + 12721475.

Almost surely, 2^2124472464 is an apocalyptic number.

2124472464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2124472464 is the 46092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124472464

2124472464 is an abundant number, since it is smaller than the sum of its proper divisors (4128282499).

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

2124472464 is a wasteful number, since it uses less digits than its factorization.

2124472464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 195 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The cubic root of 2124472464 is about 1285.5343987905.

Multiplying 2124472464 by its sum of digits (36), we get a square (76481008704 = 276552²).

2124472464 divided by its sum of digits (36) gives a square (59013124 = 7682²).

The spelling of 2124472464 in words is "two billion, one hundred twenty-four million, four hundred seventy-two thousand, four hundred sixty-four".