2922344064 has 288 divisors, whose sum is σ = 9235125900. Its totient is φ = 883851264.

The previous prime is 2922344011. The next prime is 2922344083. The reversal of 2922344064 is 4604432292.

2922344064 is a `hidden beast` number, since 29 + 223 + 4 + 406 + 4 = 666.

2922344064 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 2903054400 + 19289664 = 53880^2 + 4392^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26810442 + ... + 26810550.

Almost surely, 2^2922344064 is an apocalyptic number.

2922344064 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 2922344064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4617562950).

2922344064 is an abundant number, since it is smaller than the sum of its proper divisors (6312781836).

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

2922344064 is a wasteful number, since it uses less digits than its factorization.

2922344064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2922344064 is about 54058.7094185572. The cubic root of 2922344064 is about 1429.6962635908.

The spelling of 2922344064 in words is "two billion, nine hundred twenty-two million, three hundred forty-four thousand, sixty-four".