2892968624 has 120 divisors (see below), whose sum is σ = 7112669760. Its totient is φ = 1129669632.

The previous prime is 2892968623. The next prime is 2892968699. The reversal of 2892968624 is 4268692982.

2892968624 is digitally balanced in base 2, 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 (56).

It is a self number, because there is not a number n which added to its sum of digits gives 2892968624.

It is not an unprimeable number, because it can be changed into a prime (2892968623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 803372 + ... + 806964.

It is an arithmetic number, because the mean of its divisors is an integer number (59272248).

Almost surely, 2^2892968624 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 2892968624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556334880).

2892968624 is an abundant number, since it is smaller than the sum of its proper divisors (4219701136).

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

2892968624 is a wasteful number, since it uses less digits than its factorization.

2892968624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707 (or 3694 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 56.

The square root of 2892968624 is about 53786.3237635740. The cubic root of 2892968624 is about 1424.8896804305.

The spelling of 2892968624 in words is "two billion, eight hundred ninety-two million, nine hundred sixty-eight thousand, six hundred twenty-four".