2984929920 has 256 divisors, whose sum is σ = 12082348800. Its totient is φ = 682242048.

The previous prime is 2984929907. The next prime is 2984929939. The reversal of 2984929920 is 299294892.

2984929920 is a `hidden beast` number, since 298 + 49 + 299 + 20 = 666.

It is a super-2 number, since 2×2984929920² = 17819613254622412800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108622 + ... + 133298.

It is an arithmetic number, because the mean of its divisors is an integer number (47196675).

Almost surely, 2^2984929920 is an apocalyptic number.

2984929920 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 2984929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6041174400).

2984929920 is an abundant number, since it is smaller than the sum of its proper divisors (9097418880).

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

2984929920 is a wasteful number, since it uses less digits than its factorization.

2984929920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24712 (or 24694 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 2984929920 is about 54634.5121695069. The cubic root of 2984929920 is about 1439.8305356132.

The spelling of 2984929920 in words is "two billion, nine hundred eighty-four million, nine hundred twenty-nine thousand, nine hundred twenty".