2788245504 has 300 divisors, whose sum is σ = 9134915328. Its totient is φ = 840499200.

The previous prime is 2788245479. The next prime is 2788245511. The reversal of 2788245504 is 4055428872.

2788245504 is a `hidden beast` number, since 2 + 78 + 8 + 24 + 550 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2788245504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14598049 + ... + 14598239.

Almost surely, 2^2788245504 is an apocalyptic number.

2788245504 is a gapful number since it is divisible by the number (24) 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 2788245504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4567457664).

2788245504 is an abundant number, since it is smaller than the sum of its proper divisors (6346669824).

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

2788245504 is an equidigital number, since it uses as much as digits as its factorization.

2788245504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The square root of 2788245504 is about 52803.8398603738. The cubic root of 2788245504 is about 1407.4846598889.

The spelling of 2788245504 in words is "two billion, seven hundred eighty-eight million, two hundred forty-five thousand, five hundred four".