2512868520960 has 1584 divisors, whose sum is σ = 10739426390784. Its totient is φ = 561508319232.

The previous prime is 2512868520949. The next prime is 2512868520973. The reversal of 2512868520960 is 690258682152.

2512868520960 is a `hidden beast` number, since 2 + 5 + 1 + 28 + 6 + 8 + 520 + 96 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2512868520897 and 2512868520906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2865300042 + ... + 2865300918.

Almost surely, 2^{2512868520960} is an apocalyptic number.

2512868520960 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 2512868520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5369713195392).

2512868520960 is an abundant number, since it is smaller than the sum of its proper divisors (8226557869824).

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

2512868520960 is an equidigital number, since it uses as much as digits as its factorization.

2512868520960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 2512868520960 in words is "two trillion, five hundred twelve billion, eight hundred sixty-eight million, five hundred twenty thousand, nine hundred sixty".