2937441920 has 128 divisors (see below), whose sum is σ = 8046380160. Its totient is φ = 1004507136.

The previous prime is 2937441919. The next prime is 2937441953. The reversal of 2937441920 is 291447392.

It is a tau number, because it is divible by the number of its divisors (128).

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, 2629202 + ... + 2630318.

It is an arithmetic number, because the mean of its divisors is an integer number (62862345).

Almost surely, 2^2937441920 is an apocalyptic number.

2937441920 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 2937441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023190080).

2937441920 is an abundant number, since it is smaller than the sum of its proper divisors (5108938240).

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

2937441920 is a wasteful number, since it uses less digits than its factorization.

2937441920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 2937441920 is about 54198.1726629229. The cubic root of 2937441920 is about 1432.1541400613.

The spelling of 2937441920 in words is "two billion, nine hundred thirty-seven million, four hundred forty-one thousand, nine hundred twenty".