2990332800 has 864 divisors, whose sum is σ = 13449061080. Its totient is φ = 627056640.

The previous prime is 2990332783. The next prime is 2990332889. The reversal of 2990332800 is 82330992.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 18345519 + ... + 18345681.

Almost surely, 2^2990332800 is an apocalyptic number.

2990332800 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 2990332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6724530540).

2990332800 is an abundant number, since it is smaller than the sum of its proper divisors (10458728280).

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

2990332800 is a wasteful number, since it uses less digits than its factorization.

2990332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2990332800 is about 54683.9354838329. The cubic root of 2990332800 is about 1440.6987349702.

It can be divided in two parts, 2990 and 332800, that added together give a triangular number (335790 = T₈₁₉).

The spelling of 2990332800 in words is "two billion, nine hundred ninety million, three hundred thirty-two thousand, eight hundred".