2421666521400 has 288 divisors, whose sum is σ = 8689690074240. Its totient is φ = 546511230720.

The previous prime is 2421666521389. The next prime is 2421666521419. The reversal of 2421666521400 is 41256661242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26166007 + ... + 26258393.

It is an arithmetic number, because the mean of its divisors is an integer number (30172534980).

Almost surely, 2^{2421666521400} is an apocalyptic number.

2421666521400 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 2421666521400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4344845037120).

2421666521400 is an abundant number, since it is smaller than the sum of its proper divisors (6268023552840).

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

2421666521400 is a wasteful number, since it uses less digits than its factorization.

2421666521400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92571 (or 92483 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 2421666521400 in words is "two trillion, four hundred twenty-one billion, six hundred sixty-six million, five hundred twenty-one thousand, four hundred".