2405384012560 has 20 divisors (see below), whose sum is σ = 5592517829388. Its totient is φ = 962153604992.

The previous prime is 2405384012557. The next prime is 2405384012597. The reversal of 2405384012560 is 652104835042.

It can be written as a sum of positive squares in 2 ways, for example, as 1119863431696 + 1285520580864 = 1058236^2 + 1133808^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (40).

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 3 ways as a sum of consecutive naturals, for example, 15033649999 + ... + 15033650158.

Almost surely, 2^{2405384012560} is an apocalyptic number.

2405384012560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2405384012560 is an abundant number, since it is smaller than the sum of its proper divisors (3187133816828).

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

2405384012560 is a wasteful number, since it uses less digits than its factorization.

2405384012560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30067300170 (or 30067300164 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 2405384012560 in words is "two trillion, four hundred five billion, three hundred eighty-four million, twelve thousand, five hundred sixty".