2516305332420 has 72 divisors (see below), whose sum is σ = 8326683106560. Its totient is φ = 610013413440.

The previous prime is 2516305332413. The next prime is 2516305332481. The reversal of 2516305332420 is 242335036152.

2516305332420 is a `hidden beast` number, since 2 + 5 + 1 + 6 + 305 + 3 + 324 + 20 = 666.

2516305332420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 635428660 + ... + 635432619.

It is an arithmetic number, because the mean of its divisors is an integer number (115648376480).

Almost surely, 2^{2516305332420} is an apocalyptic number.

2516305332420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2516305332420 is an abundant number, since it is smaller than the sum of its proper divisors (5810377774140).

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

2516305332420 is a wasteful number, since it uses less digits than its factorization.

2516305332420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270861305 (or 1270861300 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 2516305332420 in words is "two trillion, five hundred sixteen billion, three hundred five million, three hundred thirty-two thousand, four hundred twenty".