2029792885264 has 45 divisors (see below), whose sum is σ = 3947808727623. Its totient is φ = 1011018387456.

The previous prime is 2029792885247. The next prime is 2029792885321. The reversal of 2029792885264 is 4625882979202.

The square root of 2029792885264 is 1424708.

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

It can be written as a sum of positive squares in 4 ways, for example, as 168773072400 + 1861019812864 = 410820^2 + 1364192^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2029792885196 and 2029792885205.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2011687192 + ... + 2011688200.

Almost surely, 2^{2029792885264} is an apocalyptic number.

2029792885264 is the 1424708-th square number.

It is an amenable number.

2029792885264 is a deficient number, since it is larger than the sum of its proper divisors (1918015842359).

2029792885264 is an frugal number, since it uses more digits than its factorization.

2029792885264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 64.

Multiplying 2029792885264 by its sum of digits (64), we get a square (129906744656896 = 11397664²).

The spelling of 2029792885264 in words is "two trillion, twenty-nine billion, seven hundred ninety-two million, eight hundred eighty-five thousand, two hundred sixty-four".