2812518080400 has 480 divisors, whose sum is σ = 10772076257280. Its totient is φ = 613313648640.

The previous prime is 2812518080369. The next prime is 2812518080447. The reversal of 2812518080400 is 40808152182.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75136089 + ... + 75173511.

It is an arithmetic number, because the mean of its divisors is an integer number (22441825536).

Almost surely, 2^{2812518080400} is an apocalyptic number.

2812518080400 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 2812518080400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5386038128640).

2812518080400 is an abundant number, since it is smaller than the sum of its proper divisors (7959558176880).

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

2812518080400 is a wasteful number, since it uses less digits than its factorization.

2812518080400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37863 (or 37852 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 39.

The spelling of 2812518080400 in words is "two trillion, eight hundred twelve billion, five hundred eighteen million, eighty thousand, four hundred".