2421648824832 has 240 divisors, whose sum is σ = 7252054922112. Its totient is φ = 806753157120.

The previous prime is 2421648824831. The next prime is 2421648824857. The reversal of 2421648824832 is 2384288461242.

It is a happy number.

2421648824832 is a `hidden beast` number, since 2 + 4 + 21 + 64 + 8 + 82 + 483 + 2 = 666.

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 not an unprimeable number, because it can be changed into a prime (2421648824831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268858473 + ... + 268867479.

Almost surely, 2^{2421648824832} 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 2421648824832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3626027461056).

2421648824832 is an abundant number, since it is smaller than the sum of its proper divisors (4830406097280).

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

2421648824832 is an frugal number, since it uses more digits than its factorization.

2421648824832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11201 (or 11173 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 54.

The spelling of 2421648824832 in words is "two trillion, four hundred twenty-one billion, six hundred forty-eight million, eight hundred twenty-four thousand, eight hundred thirty-two".