2790912000 has 416 divisors, whose sum is σ = 9813473280. Its totient is φ = 702873600.

The previous prime is 2790911969. The next prime is 2790912017. The reversal of 2790912000 is 2190972.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 35327961 + ... + 35328039.

It is an arithmetic number, because the mean of its divisors is an integer number (23590080).

Almost surely, 2^2790912000 is an apocalyptic number.

2790912000 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 2790912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4906736640).

2790912000 is an abundant number, since it is smaller than the sum of its proper divisors (7022561280).

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

2790912000 is an equidigital number, since it uses as much as digits as its factorization.

2790912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 2790912000 is about 52829.0828994788. The cubic root of 2790912000 is about 1407.9331924224.

The spelling of 2790912000 in words is "two billion, seven hundred ninety million, nine hundred twelve thousand".