2421816122880 has 1200 divisors, whose sum is σ = 10897280966880. Its totient is φ = 503198023680.

The previous prime is 2421816122857. The next prime is 2421816122927. The reversal of 2421816122880 is 882216181242.

It is a happy number.

2421816122880 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 8 + 1 + 612 + 28 + 8 + 0 = 666.

It is a super-3 number, since 3×2421816122880³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 175627026 + ... + 175640814.

Almost surely, 2^{2421816122880} is an apocalyptic number.

2421816122880 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 2421816122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5448640483440).

2421816122880 is an abundant number, since it is smaller than the sum of its proper divisors (8475464844000).

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

2421816122880 is a wasteful number, since it uses less digits than its factorization.

2421816122880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13853 (or 13817 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 2421816122880 in words is "two trillion, four hundred twenty-one billion, eight hundred sixteen million, one hundred twenty-two thousand, eight hundred eighty".