2942892320 has 96 divisors (see below), whose sum is σ = 7283582208. Its totient is φ = 1121522688.

The previous prime is 2942892223. The next prime is 2942892331. The reversal of 2942892320 is 232982492.

2942892320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2942892320² = 17321230414229964800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1017917 + ... + 1020803.

It is an arithmetic number, because the mean of its divisors is an integer number (75870648).

Almost surely, 2^2942892320 is an apocalyptic number.

2942892320 is a gapful number since it is divisible by the number (20) 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 2942892320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3641791104).

2942892320 is an abundant number, since it is smaller than the sum of its proper divisors (4340689888).

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

2942892320 is a wasteful number, since it uses less digits than its factorization.

2942892320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3202 (or 3194 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 2942892320 is about 54248.4314980627. The cubic root of 2942892320 is about 1433.0393762899.

The spelling of 2942892320 in words is "two billion, nine hundred forty-two million, eight hundred ninety-two thousand, three hundred twenty".