2045735205264 has 45 divisors (see below), whose sum is σ = 5725265310219. Its totient is φ = 681906013920.

The previous prime is 2045735205209. The next prime is 2045735205277. The reversal of 2045735205264 is 4625025375402.

The square root of 2045735205264 is 1430292.

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

2045735205264 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 73 + 52 + 0 + 526 + 4 = 666.

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, 17103909 + ... + 17223099.

Almost surely, 2^{2045735205264} is an apocalyptic number.

2045735205264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2045735205264 is the 1430292-nd square number.

It is an amenable number.

2045735205264 is an abundant number, since it is smaller than the sum of its proper divisors (3679530104955).

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

2045735205264 is an frugal number, since it uses more digits than its factorization.

2045735205264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238396 (or 119196 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 45.

The spelling of 2045735205264 in words is "two trillion, forty-five billion, seven hundred thirty-five million, two hundred five thousand, two hundred sixty-four".