2791132800 has 192 divisors, whose sum is σ = 9593760960. Its totient is φ = 711884800.

The previous prime is 2791132787. The next prime is 2791132819. The reversal of 2791132800 is 82311972.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214480 + ... + 227120.

It is an arithmetic number, because the mean of its divisors is an integer number (49967505).

Almost surely, 2^2791132800 is an apocalyptic number.

2791132800 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 2791132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4796880480).

2791132800 is an abundant number, since it is smaller than the sum of its proper divisors (6802628160).

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

2791132800 is a wasteful number, since it uses less digits than its factorization.

2791132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12691 (or 12674 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 2791132800 is about 52831.1726161743. The cubic root of 2791132800 is about 1407.9703204832.

The spelling of 2791132800 in words is "two billion, seven hundred ninety-one million, one hundred thirty-two thousand, eight hundred".