2012688769 has 81 divisors (see below), whose sum is σ = 2789218107. Its totient is φ = 1447100928.

The previous prime is 2012688763. The next prime is 2012688787. The reversal of 2012688769 is 9678862102.

The square root of 2012688769 is 44863.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1148328769 + 864360000 = 33887^2 + 29400^2 .

It is not a de Polignac number, because 2012688769 - 2⁵ = 2012688737 is a prime.

It is a super-2 number, since 2×2012688769² = 8101832161717470722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (2012688763) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 69403047 + ... + 69403075.

Almost surely, 2^2012688769 is an apocalyptic number.

2012688769 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2012688769 is the 44863-rd square number.

2012688769 is the 22432-nd centered octagonal number.

It is an amenable number.

2012688769 is a deficient number, since it is larger than the sum of its proper divisors (776529338).

2012688769 is a wasteful number, since it uses less digits than its factorization.

2012688769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The cubic root of 2012688769 is about 1262.5799093818.

Multiplying 2012688769 by its sum of digits (49), we get a square (98621749681 = 314041²).

2012688769 divided by its sum of digits (49) gives a square (41075281 = 6409²).

The spelling of 2012688769 in words is "two billion, twelve million, six hundred eighty-eight thousand, seven hundred sixty-nine".