2121588560 has 160 divisors (see below), whose sum is σ = 6127107840. Its totient is φ = 665247744.

The previous prime is 2121588533. The next prime is 2121588589. The reversal of 2121588560 is 658851212.

It is a super-2 number, since 2×2121588560² = 9002276035845747200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 821351 + ... + 823929.

It is an arithmetic number, because the mean of its divisors is an integer number (38294424).

Almost surely, 2^2121588560 is an apocalyptic number.

2121588560 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 2121588560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063553920).

2121588560 is an abundant number, since it is smaller than the sum of its proper divisors (4005519280).

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

2121588560 is a wasteful number, since it uses less digits than its factorization.

2121588560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 38.

The square root of 2121588560 is about 46060.7051617754. The cubic root of 2121588560 is about 1284.9524446561.

The spelling of 2121588560 in words is "two billion, one hundred twenty-one million, five hundred eighty-eight thousand, five hundred sixty".