2409940879584 has 96 divisors (see below), whose sum is σ = 7285012390656. Its totient is φ = 683298370560.

The previous prime is 2409940879583. The next prime is 2409940879601. The reversal of 2409940879584 is 4859780499042.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2409940879583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13599837 + ... + 13775900.

It is an arithmetic number, because the mean of its divisors is an integer number (75885545736).

Almost surely, 2^{2409940879584} is an apocalyptic number.

2409940879584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2409940879584 is an abundant number, since it is smaller than the sum of its proper divisors (4875071511072).

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

2409940879584 is a wasteful number, since it uses less digits than its factorization.

2409940879584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27375888 (or 27375880 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 69.

The spelling of 2409940879584 in words is "two trillion, four hundred nine billion, nine hundred forty million, eight hundred seventy-nine thousand, five hundred eighty-four".