2406724656000 has 256 divisors, whose sum is σ = 9118049541120. Its totient is φ = 550108416000.

The previous prime is 2406724655981. The next prime is 2406724656043. The reversal of 2406724656000 is 6564276042.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3245436 + ... + 3917435.

It is an arithmetic number, because the mean of its divisors is an integer number (35617381020).

Almost surely, 2^{2406724656000} is an apocalyptic number.

2406724656000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2406724656000 is an abundant number, since it is smaller than the sum of its proper divisors (6711324885120).

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

2406724656000 is an equidigital number, since it uses as much as digits as its factorization.

2406724656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7162910 (or 7162888 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 2406724656000 in words is "two trillion, four hundred six billion, seven hundred twenty-four million, six hundred fifty-six thousand".