2812491988416 has 336 divisors, whose sum is σ = 8942339248128. Its totient is φ = 838049587200.

The previous prime is 2812491988409. The next prime is 2812491988433. The reversal of 2812491988416 is 6148891942182.

2812491988416 is a `hidden beast` number, since 2 + 8 + 1 + 24 + 9 + 198 + 8 + 416 = 666.

It is a super-2 number, since 2×2812491988416² (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90912471 + ... + 90943401.

Almost surely, 2^{2812491988416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2812491988416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4471169624064).

2812491988416 is an abundant number, since it is smaller than the sum of its proper divisors (6129847259712).

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

2812491988416 is a wasteful number, since it uses less digits than its factorization.

2812491988416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31200 (or 31187 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 63.

The spelling of 2812491988416 in words is "two trillion, eight hundred twelve billion, four hundred ninety-one million, nine hundred eighty-eight thousand, four hundred sixteen".