2942593920 has 896 divisors, whose sum is σ = 13003727040. Its totient is φ = 621084672.

The previous prime is 2942593909. The next prime is 2942593939. The reversal of 2942593920 is 293952492.

2942593920 is a `hidden beast` number, since 2 + 9 + 4 + 259 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 55520614 + ... + 55520666.

Almost surely, 2^2942593920 is an apocalyptic number.

2942593920 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 2942593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6501863520).

2942593920 is an abundant number, since it is smaller than the sum of its proper divisors (10061133120).

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

2942593920 is an equidigital number, since it uses as much as digits as its factorization.

2942593920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 2942593920 is about 54245.6811184079. The cubic root of 2942593920 is about 1432.9909394283.

The spelling of 2942593920 in words is "two billion, nine hundred forty-two million, five hundred ninety-three thousand, nine hundred twenty".