2516427056640 has 160 divisors (see below), whose sum is σ = 9193946192640. Its totient is φ = 575183314944.

The previous prime is 2516427056581. The next prime is 2516427056653. The reversal of 2516427056640 is 466507246152.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2516427056640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23350510 + ... + 23458029.

It is an arithmetic number, because the mean of its divisors is an integer number (57462163704).

Almost surely, 2^{2516427056640} is an apocalyptic number.

2516427056640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2516427056640 is an abundant number, since it is smaller than the sum of its proper divisors (6677519136000).

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

2516427056640 is an equidigital number, since it uses as much as digits as its factorization.

2516427056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46808572 (or 46808556 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 2516427056640 in words is "two trillion, five hundred sixteen billion, four hundred twenty-seven million, fifty-six thousand, six hundred forty".