2797804800 has 648 divisors, whose sum is σ = 11901279936. Its totient is φ = 637009920.

The previous prime is 2797804799. The next prime is 2797804843. The reversal of 2797804800 is 84087972.

2797804800 is a `hidden beast` number, since 2 + 7 + 97 + 80 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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 71 ways as a sum of consecutive naturals, for example, 10886272 + ... + 10886528.

Almost surely, 2^2797804800 is an apocalyptic number.

2797804800 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 2797804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5950639968).

2797804800 is an abundant number, since it is smaller than the sum of its proper divisors (9103475136).

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

2797804800 is an equidigital number, since it uses as much as digits as its factorization.

2797804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 2797804800 is about 52894.2794638513. The cubic root of 2797804800 is about 1409.0913112981.

The spelling of 2797804800 in words is "two billion, seven hundred ninety-seven million, eight hundred four thousand, eight hundred".