2128622769 has 63 divisors (see below), whose sum is σ = 3874720863. Its totient is φ = 1122790032.

The previous prime is 2128622767. The next prime is 2128622857. The reversal of 2128622769 is 9672268212.

The square root of 2128622769 is 46137.

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

2128622769 is a `hidden beast` number, since 2 + 12 + 8 + 622 + 7 + 6 + 9 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1826280225 + 302342544 = 42735^2 + 17388^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 2128622769 - 2¹ = 2128622767 is a prime.

It is a super-2 number, since 2×2128622769² = 9062069785410454722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2128622767) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 163740207 + ... + 163740219.

Almost surely, 2^2128622769 is an apocalyptic number.

2128622769 is the 46137-th square number.

2128622769 is the 23069-th centered octagonal number.

It is an amenable number.

2128622769 is a deficient number, since it is larger than the sum of its proper divisors (1746098094).

2128622769 is an frugal number, since it uses more digits than its factorization.

2128622769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 23 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The cubic root of 2128622769 is about 1286.3709812624.

Multiplying 2128622769 by its product of digits (290304), we get a cube (617947704331776 = 85176³).

The spelling of 2128622769 in words is "two billion, one hundred twenty-eight million, six hundred twenty-two thousand, seven hundred sixty-nine".