2121642551160 has 576 divisors, whose sum is σ = 7728613401600. Its totient is φ = 504244984320.

The previous prime is 2121642551141. The next prime is 2121642551261. The reversal of 2121642551160 is 611552461212.

2121642551160 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 6 + 42 + 551 + 1 + 60 = 666.

It is a super-2 number, since 2×2121642551160² (a number of 25 digits) contains 22 as substring.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1189927629 + ... + 1189929411.

It is an arithmetic number, because the mean of its divisors is an integer number (13417731600).

Almost surely, 2^{2121642551160} is an apocalyptic number.

2121642551160 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 2121642551160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864306700800).

2121642551160 is an abundant number, since it is smaller than the sum of its proper divisors (5606970850440).

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

2121642551160 is a wasteful number, since it uses less digits than its factorization.

2121642551160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 2121642551160 in words is "two trillion, one hundred twenty-one billion, six hundred forty-two million, five hundred fifty-one thousand, one hundred sixty".