2121666592320 has 672 divisors, whose sum is σ = 8321359527936. Its totient is φ = 510267340800.

The previous prime is 2121666592313. The next prime is 2121666592361. The reversal of 2121666592320 is 232956661212.

It is a super-2 number, since 2×2121666592320² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108620955 + ... + 108640485.

It is an arithmetic number, because the mean of its divisors is an integer number (12382975488).

Almost surely, 2^{2121666592320} is an apocalyptic number.

2121666592320 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 2121666592320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160679763968).

2121666592320 is an abundant number, since it is smaller than the sum of its proper divisors (6199692935616).

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

2121666592320 is a wasteful number, since it uses less digits than its factorization.

2121666592320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19701 (or 19679 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 2121666592320 in words is "two trillion, one hundred twenty-one billion, six hundred sixty-six million, five hundred ninety-two thousand, three hundred twenty".