2121375600 has 270 divisors, whose sum is σ = 7824116040. Its totient is φ = 532162560.

The previous prime is 2121375587. The next prime is 2121375611. The reversal of 2121375600 is 65731212.

It is a happy number.

2121375600 is a `hidden beast` number, since 2 + 1 + 21 + 37 + 5 + 600 = 666.

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 53 ways as a sum of consecutive naturals, for example, 1039381 + ... + 1041419.

Almost surely, 2^2121375600 is an apocalyptic number.

2121375600 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 2121375600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3912058020).

2121375600 is an abundant number, since it is smaller than the sum of its proper divisors (5702740440).

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

2121375600 is a wasteful number, since it uses less digits than its factorization.

2121375600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2121375600 is about 46058.3933718926. The cubic root of 2121375600 is about 1284.9094497302.

The spelling of 2121375600 in words is "two billion, one hundred twenty-one million, three hundred seventy-five thousand, six hundred".