2292083965369 has 9 divisors (see below), whose sum is σ = 2519416382959. Its totient is φ = 2083697556160.

The previous prime is 2292083965351. The next prime is 2292083965403. The reversal of 2292083965369 is 9635693802922.

The square root of 2292083965369 is 1513963.

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., 2147294583225 + 144789382144 = 1465365^2 + 380512^2 .

It is not a de Polignac number, because 2292083965369 - 2²¹ = 2292081868217 is a prime.

It is a super-2 number, since 2×2292083965369² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2292083965369.

It is not an unprimeable number, because it can be changed into a prime (2292083965069) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16584777 + ... + 16722409.

Almost surely, 2^{2292083965369} is an apocalyptic number.

2292083965369 is the 1513963-rd square number.

2292083965369 is the 756982-nd centered octagonal number.

It is an amenable number.

2292083965369 is a deficient number, since it is larger than the sum of its proper divisors (227332417590).

2292083965369 is an frugal number, since it uses more digits than its factorization.

2292083965369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275288 (or 137644 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 64.

Multiplying 2292083965369 by its sum of digits (64), we get a square (146693373783616 = 12111704²).

The spelling of 2292083965369 in words is "two trillion, two hundred ninety-two billion, eighty-three million, nine hundred sixty-five thousand, three hundred sixty-nine".