2788166400 has 216 divisors, whose sum is σ = 9687088320. Its totient is φ = 704286720.

The previous prime is 2788166399. The next prime is 2788166441. The reversal of 2788166400 is 46618872.

It is a congruent number.

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, 360979 + ... + 368621.

Almost surely, 2^2788166400 is an apocalyptic number.

2788166400 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 2788166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4843544160).

2788166400 is an abundant number, since it is smaller than the sum of its proper divisors (6898921920).

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

2788166400 is a wasteful number, since it uses less digits than its factorization.

2788166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7691 (or 7672 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 2788166400 is about 52803.0908186254. The cubic root of 2788166400 is about 1407.4713494016.

The spelling of 2788166400 in words is "two billion, seven hundred eighty-eight million, one hundred sixty-six thousand, four hundred".