2421252172800 has 2112 divisors, whose sum is σ = 10175862988800. Its totient is φ = 562515148800.

The previous prime is 2421252172793. The next prime is 2421252172813. The reversal of 2421252172800 is 82712521242.

It is a happy number.

2421252172800 is a `hidden beast` number, since 2 + 42 + 12 + 521 + 7 + 2 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 78104908785 + ... + 78104908815.

Almost surely, 2^{2421252172800} is an apocalyptic number.

2421252172800 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 2421252172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5087931494400).

2421252172800 is an abundant number, since it is smaller than the sum of its proper divisors (7754610816000).

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

2421252172800 is a wasteful number, since it uses less digits than its factorization.

2421252172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 2421252172800 in words is "two trillion, four hundred twenty-one billion, two hundred fifty-two million, one hundred seventy-two thousand, eight hundred".