2121666360 has 256 divisors, whose sum is σ = 7185024000. Its totient is φ = 496742400.

The previous prime is 2121666359. The next prime is 2121666383. The reversal of 2121666360 is 636661212.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10661541 + ... + 10661739.

It is an arithmetic number, because the mean of its divisors is an integer number (28066500).

Almost surely, 2^2121666360 is an apocalyptic number.

2121666360 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 2121666360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592512000).

2121666360 is an abundant number, since it is smaller than the sum of its proper divisors (5063357640).

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

2121666360 is a wasteful number, since it uses less digits than its factorization.

2121666360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 2121666360 is about 46061.5496916897. The cubic root of 2121666360 is about 1284.9681511382.

The spelling of 2121666360 in words is "two billion, one hundred twenty-one million, six hundred sixty-six thousand, three hundred sixty".