2924382720 has 480 divisors, whose sum is σ = 11475604800. Its totient is φ = 631701504.

The previous prime is 2924382631. The next prime is 2924382757. The reversal of 2924382720 is 272834292.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7149876 + ... + 7150284.

It is an arithmetic number, because the mean of its divisors is an integer number (23907510).

Almost surely, 2^2924382720 is an apocalyptic number.

2924382720 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 2924382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5737802400).

2924382720 is an abundant number, since it is smaller than the sum of its proper divisors (8551222080).

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

2924382720 is a wasteful number, since it uses less digits than its factorization.

2924382720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 2924382720 is about 54077.5620752267. The cubic root of 2924382720 is about 1430.0286430437.

The spelling of 2924382720 in words is "two billion, nine hundred twenty-four million, three hundred eighty-two thousand, seven hundred twenty".