2791152000 has 1024 divisors, whose sum is σ = 12831436800. Its totient is φ = 580608000.

The previous prime is 2791151981. The next prime is 2791152029. The reversal of 2791152000 is 2511972.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39311965 + ... + 39312035.

It is an arithmetic number, because the mean of its divisors is an integer number (12530700).

Almost surely, 2^2791152000 is an apocalyptic number.

2791152000 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 2791152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6415718400).

2791152000 is an abundant number, since it is smaller than the sum of its proper divisors (10040284800).

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

2791152000 is a wasteful number, since it uses less digits than its factorization.

2791152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 2791152000 is about 52831.3543267632. The cubic root of 2791152000 is about 1407.9735489177.

Adding to 2791152000 its reverse (2511972), we get a palindrome (2793663972).

The spelling of 2791152000 in words is "two billion, seven hundred ninety-one million, one hundred fifty-two thousand".