2421663266400 has 288 divisors, whose sum is σ = 9069057043200. Its totient is φ = 549807544320.

The previous prime is 2421663266339. The next prime is 2421663266411. The reversal of 2421663266400 is 46623661242.

It is a super-2 number, since 2×2421663266400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2019487 + ... + 2986913.

It is an arithmetic number, because the mean of its divisors is an integer number (31489781400).

Almost surely, 2^{2421663266400} is an apocalyptic number.

2421663266400 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 2421663266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4534528521600).

2421663266400 is an abundant number, since it is smaller than the sum of its proper divisors (6647393776800).

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

2421663266400 is a wasteful number, since it uses less digits than its factorization.

2421663266400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967606 (or 967593 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 2421663266400 in words is "two trillion, four hundred twenty-one billion, six hundred sixty-three million, two hundred sixty-six thousand, four hundred".