2408631948800 has 720 divisors, whose sum is σ = 7690860182016. Its totient is φ = 726239232000.

The previous prime is 2408631948781. The next prime is 2408631948803. The reversal of 2408631948800 is 88491368042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2408631948803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 947160329 + ... + 947162871.

Almost surely, 2^{2408631948800} is an apocalyptic number.

2408631948800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2408631948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3845430091008).

2408631948800 is an abundant number, since it is smaller than the sum of its proper divisors (5282228233216).

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

2408631948800 is a wasteful number, since it uses less digits than its factorization.

2408631948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2651 (or 2599 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 53.

The spelling of 2408631948800 in words is "two trillion, four hundred eight billion, six hundred thirty-one million, nine hundred forty-eight thousand, eight hundred".