2421496800 has 432 divisors, whose sum is σ = 9294405120. Its totient is φ = 590976000.

The previous prime is 2421496771. The next prime is 2421496829. The reversal of 2421496800 is 86941242.

It is an interprime number because it is at equal distance from previous prime (2421496771) and next prime (2421496829).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4240515 + ... + 4241085.

Almost surely, 2^2421496800 is an apocalyptic number.

2421496800 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 2421496800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4647202560).

2421496800 is an abundant number, since it is smaller than the sum of its proper divisors (6872908320).

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

2421496800 is a wasteful number, since it uses less digits than its factorization.

2421496800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2421496800 is about 49208.7065467078. The cubic root of 2421496800 is about 1342.8514315651.

The spelling of 2421496800 in words is "two billion, four hundred twenty-one million, four hundred ninety-six thousand, eight hundred".