2109013776 has 135 divisors (see below), whose sum is σ = 6111423669. Its totient is φ = 678940416.

The previous prime is 2109013771. The next prime is 2109013799. The reversal of 2109013776 is 6773109012.

It is a happy number.

The square root of 2109013776 is 45924.

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., 404975376 + 1704038400 = 20124^2 + 41280^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2109013776.

It is not an unprimeable number, because it can be changed into a prime (2109013771) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 23696740 + ... + 23696828.

Almost surely, 2^2109013776 is an apocalyptic number.

2109013776 is the 45924-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2109013776

2109013776 is an abundant number, since it is smaller than the sum of its proper divisors (4002409893).

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

2109013776 is an equidigital number, since it uses as much as digits as its factorization.

2109013776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The cubic root of 2109013776 is about 1282.4087487941.

Multiplying 2109013776 by its sum of digits (36), we get a square (75924495936 = 275544²).

2109013776 divided by its sum of digits (36) gives a square (58583716 = 7654²).

Multiplying 2109013776 by its product of nonzero digits (15876), we get a square (33482702707776 = 5786424²).

The spelling of 2109013776 in words is "two billion, one hundred nine million, thirteen thousand, seven hundred seventy-six".