2424960825680 has 20 divisors (see below), whose sum is σ = 5638033919892. Its totient is φ = 969984330240.

The previous prime is 2424960825659. The next prime is 2424960825691. The reversal of 2424960825680 is 865280694242.

2424960825680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1613570629696 + 811390195984 = 1270264^2 + 900772^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15156005081 + ... + 15156005240.

Almost surely, 2^{2424960825680} is an apocalyptic number.

2424960825680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2424960825680 is an abundant number, since it is smaller than the sum of its proper divisors (3213073094212).

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

2424960825680 is a wasteful number, since it uses less digits than its factorization.

2424960825680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30312010334 (or 30312010328 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 56.

The spelling of 2424960825680 in words is "two trillion, four hundred twenty-four billion, nine hundred sixty million, eight hundred twenty-five thousand, six hundred eighty".