2802978790400 has 264 divisors, whose sum is σ = 7083765828720. Its totient is φ = 1099483709440.

The previous prime is 2802978790397. The next prime is 2802978790439. The reversal of 2802978790400 is 40978792082.

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, 291092786 + ... + 291102414.

Almost surely, 2^{2802978790400} is an apocalyptic number.

2802978790400 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 2802978790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541882914360).

2802978790400 is an abundant number, since it is smaller than the sum of its proper divisors (4280787038320).

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

2802978790400 is a wasteful number, since it uses less digits than its factorization.

2802978790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9879 (or 9856 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 56.

The spelling of 2802978790400 in words is "two trillion, eight hundred two billion, nine hundred seventy-eight million, seven hundred ninety thousand, four hundred".