2798915600 has 240 divisors, whose sum is σ = 7594513920. Its totient is φ = 984268800.

The previous prime is 2798915551. The next prime is 2798915663. The reversal of 2798915600 is 65198972.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15636311 + ... + 15636489.

It is an arithmetic number, because the mean of its divisors is an integer number (31643808).

Almost surely, 2^2798915600 is an apocalyptic number.

2798915600 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 2798915600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3797256960).

2798915600 is an abundant number, since it is smaller than the sum of its proper divisors (4795598320).

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

2798915600 is a wasteful number, since it uses less digits than its factorization.

2798915600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 47.

The square root of 2798915600 is about 52904.7786121443. The cubic root of 2798915600 is about 1409.2777683769.

The spelling of 2798915600 in words is "two billion, seven hundred ninety-eight million, nine hundred fifteen thousand, six hundred".