2512981902816 has 768 divisors, whose sum is σ = 9369619660800. Its totient is φ = 644351086080.

The previous prime is 2512981902791. The next prime is 2512981902833. The reversal of 2512981902816 is 6182091892152.

2512981902816 is a `hidden beast` number, since 2 + 512 + 9 + 8 + 1 + 90 + 28 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 425709721 + ... + 425715623.

It is an arithmetic number, because the mean of its divisors is an integer number (12200025600).

Almost surely, 2^{2512981902816} 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 2512981902816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4684809830400).

2512981902816 is an abundant number, since it is smaller than the sum of its proper divisors (6856637757984).

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

2512981902816 is an equidigital number, since it uses as much as digits as its factorization.

2512981902816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6031 (or 6005 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 2512981902816 in words is "two trillion, five hundred twelve billion, nine hundred eighty-one million, nine hundred two thousand, eight hundred sixteen".