2113792576 has 63 divisors (see below), whose sum is σ = 4885333257. Its totient is φ = 904807680.

The previous prime is 2113792477. The next prime is 2113792601. The reversal of 2113792576 is 6752973112.

The square root of 2113792576 is 45976.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 577152576 + 1536640000 = 24024^2 + 39200^2 .

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 8 ways as a sum of consecutive naturals, for example, 2574246 + ... + 2575066.

Almost surely, 2^2113792576 is an apocalyptic number.

2113792576 is the 45976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113792576

2113792576 is an abundant number, since it is smaller than the sum of its proper divisors (2771540681).

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

2113792576 is an frugal number, since it uses more digits than its factorization.

2113792576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 830 counting only the distinct ones).

The product of its digits is 158760, while the sum is 43.

The cubic root of 2113792576 is about 1283.3766185584.

The spelling of 2113792576 in words is "two billion, one hundred thirteen million, seven hundred ninety-two thousand, five hundred seventy-six".