2421924936336 has 200 divisors, whose sum is σ = 7156313841600. Its totient is φ = 790490098944.

The previous prime is 2421924936311. The next prime is 2421924936349. The reversal of 2421924936336 is 6336394291242.

2421924936336 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 9 + 249 + 363 + 36 = 666.

It is a super-2 number, since 2×2421924936336² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34515015 + ... + 34585113.

It is an arithmetic number, because the mean of its divisors is an integer number (35781569208).

Almost surely, 2^{2421924936336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2421924936336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578156920800).

2421924936336 is an abundant number, since it is smaller than the sum of its proper divisors (4734388905264).

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

2421924936336 is a wasteful number, since it uses less digits than its factorization.

2421924936336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70675 (or 70660 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 54.

The spelling of 2421924936336 in words is "two trillion, four hundred twenty-one billion, nine hundred twenty-four million, nine hundred thirty-six thousand, three hundred thirty-six".