2121593380 has 48 divisors (see below), whose sum is σ = 4570982640. Its totient is φ = 826675200.

The previous prime is 2121593377. The next prime is 2121593401. The reversal of 2121593380 is 833951212.

It can be written as a sum of positive squares in 8 ways, for example, as 870132004 + 1251461376 = 29498^2 + 35376^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 678220 + ... + 681340.

It is an arithmetic number, because the mean of its divisors is an integer number (95228805).

Almost surely, 2^2121593380 is an apocalyptic number.

2121593380 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 2121593380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285491320).

2121593380 is an abundant number, since it is smaller than the sum of its proper divisors (2449389260).

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

2121593380 is a wasteful number, since it uses less digits than its factorization.

2121593380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000 (or 3998 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 2121593380 is about 46060.7574840015. The cubic root of 2121593380 is about 1284.9534177424.

The spelling of 2121593380 in words is "two billion, one hundred twenty-one million, five hundred ninety-three thousand, three hundred eighty".