2812494384000 has 768 divisors, whose sum is σ = 11824997708160. Its totient is φ = 627167232000.

The previous prime is 2812494383987. The next prime is 2812494384059. The reversal of 2812494384000 is 4834942182.

2812494384000 is a `hidden beast` number, since 2 + 8 + 124 + 94 + 38 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 41293974 + ... + 41362026.

Almost surely, 2^{2812494384000} is an apocalyptic number.

2812494384000 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 2812494384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5912498854080).

2812494384000 is an abundant number, since it is smaller than the sum of its proper divisors (9012503324160).

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

2812494384000 is a wasteful number, since it uses less digits than its factorization.

2812494384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68136 (or 68111 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 2812494384000 in words is "two trillion, eight hundred twelve billion, four hundred ninety-four million, three hundred eighty-four thousand".