2122624368 has 240 divisors, whose sum is σ = 6615648000. Its totient is φ = 632282112.

The previous prime is 2122624337. The next prime is 2122624373. The reversal of 2122624368 is 8634262212.

2122624368 is a `hidden beast` number, since 2 + 1 + 22 + 624 + 3 + 6 + 8 = 666.

2122624368 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5600403 + ... + 5600781.

It is an arithmetic number, because the mean of its divisors is an integer number (27565200).

Almost surely, 2^2122624368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122624368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307824000).

2122624368 is an abundant number, since it is smaller than the sum of its proper divisors (4493023632).

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

2122624368 is a wasteful number, since it uses less digits than its factorization.

2122624368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 515 counting only the distinct ones).

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

The square root of 2122624368 is about 46071.9477339519. The cubic root of 2122624368 is about 1285.1615250128.

The spelling of 2122624368 in words is "two billion, one hundred twenty-two million, six hundred twenty-four thousand, three hundred sixty-eight".