2922375456 has 768 divisors, whose sum is σ = 11921817600. Its totient is φ = 671846400.

The previous prime is 2922375439. The next prime is 2922375461. The reversal of 2922375456 is 6545732292.

2922375456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26810730 + ... + 26810838.

It is an arithmetic number, because the mean of its divisors is an integer number (15523200).

Almost surely, 2^2922375456 is an apocalyptic number.

2922375456 is a gapful number since it is divisible by the number (26) 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 2922375456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960908800).

2922375456 is an abundant number, since it is smaller than the sum of its proper divisors (8999442144).

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

2922375456 is a wasteful number, since it uses less digits than its factorization.

2922375456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 176 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 2922375456 is about 54058.9997687712. Note that the first 3 decimals coincide. The cubic root of 2922375456 is about 1429.7013828676.

The spelling of 2922375456 in words is "two billion, nine hundred twenty-two million, three hundred seventy-five thousand, four hundred fifty-six".