2409969640680 has 256 divisors, whose sum is σ = 9720886464000. Its totient is φ = 518447222784.

The previous prime is 2409969640667. The next prime is 2409969640703. The reversal of 2409969640680 is 860469699042.

2409969640680 is a `hidden beast` number, since 2 + 4 + 0 + 99 + 69 + 6 + 406 + 80 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9247335 + ... + 9504374.

It is an arithmetic number, because the mean of its divisors is an integer number (37972212750).

Almost surely, 2^{2409969640680} is an apocalyptic number.

2409969640680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2409969640680 is an abundant number, since it is smaller than the sum of its proper divisors (7310916823320).

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

2409969640680 is a wasteful number, since it uses less digits than its factorization.

2409969640680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18751753 (or 18751743 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 2409969640680 in words is "two trillion, four hundred nine billion, nine hundred sixty-nine million, six hundred forty thousand, six hundred eighty".