2922835968 has 416 divisors, whose sum is σ = 9907833600. Its totient is φ = 844038144.

The previous prime is 2922835919. The next prime is 2922835969. The reversal of 2922835968 is 8695382292.

2922835968 is a `hidden beast` number, since 2 + 9 + 228 + 359 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3732480) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2922835969) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 27316171 + ... + 27316277.

Almost surely, 2^2922835968 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 2922835968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953916800).

2922835968 is an abundant number, since it is smaller than the sum of its proper divisors (6984997632).

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

2922835968 is a wasteful number, since it uses less digits than its factorization.

2922835968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 144 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 2922835968 is about 54063.2589472740. The cubic root of 2922835968 is about 1429.7764770359.

The spelling of 2922835968 in words is "two billion, nine hundred twenty-two million, eight hundred thirty-five thousand, nine hundred sixty-eight".