2973273264 has 160 divisors (see below), whose sum is σ = 9221284800. Its totient is φ = 911831040.

The previous prime is 2973273257. The next prime is 2973273337. The reversal of 2973273264 is 4623723792.

2973273264 is a `hidden beast` number, since 297 + 32 + 7 + 326 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2183944 + ... + 2185304.

It is an arithmetic number, because the mean of its divisors is an integer number (57633030).

Almost surely, 2^2973273264 is an apocalyptic number.

2973273264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2973273264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4610642400).

2973273264 is an abundant number, since it is smaller than the sum of its proper divisors (6248011536).

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

2973273264 is a wasteful number, since it uses less digits than its factorization.

2973273264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1768 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The square root of 2973273264 is about 54527.7293127084. The cubic root of 2973273264 is about 1437.9538299801.

The spelling of 2973273264 in words is "two billion, nine hundred seventy-three million, two hundred seventy-three thousand, two hundred sixty-four".