2122632864 has 240 divisors, whose sum is σ = 6882654240. Its totient is φ = 636387840.

The previous prime is 2122632857. The next prime is 2122632871. The reversal of 2122632864 is 4682362212.

2122632864 is a `hidden beast` number, since 2 + 12 + 2 + 632 + 8 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2122632857) and next prime (2122632871).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3107467 + ... + 3108149.

It is an arithmetic number, because the mean of its divisors is an integer number (28677726).

Almost surely, 2^2122632864 is an apocalyptic number.

2122632864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122632864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3441327120).

2122632864 is an abundant number, since it is smaller than the sum of its proper divisors (4760021376).

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

2122632864 is a wasteful number, since it uses less digits than its factorization.

2122632864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 808 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 2122632864 is about 46072.0399374718. The cubic root of 2122632864 is about 1285.1632396697.

The spelling of 2122632864 in words is "two billion, one hundred twenty-two million, six hundred thirty-two thousand, eight hundred sixty-four".