2992982400 has 336 divisors, whose sum is σ = 11093971860. Its totient is φ = 797506560.

The previous prime is 2992982383. The next prime is 2992982431. The reversal of 2992982400 is 42892992.

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 41 ways as a sum of consecutive naturals, for example, 2332159 + ... + 2333441.

Almost surely, 2^2992982400 is an apocalyptic number.

2992982400 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 2992982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5546985930).

2992982400 is an abundant number, since it is smaller than the sum of its proper divisors (8100989460).

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

2992982400 is an equidigital number, since it uses as much as digits as its factorization.

2992982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2992982400 is about 54708.1566130682. The cubic root of 2992982400 is about 1441.1241222364.

The spelling of 2992982400 in words is "two billion, nine hundred ninety-two million, nine hundred eighty-two thousand, four hundred".