2765918464 has 81 divisors (see below), whose sum is σ = 5860783173. Its totient is φ = 1302598656.

The previous prime is 2765918443. The next prime is 2765918489. The reversal of 2765918464 is 4648195672.

The square root of 2765918464 is 52592.

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., 2516025600 + 249892864 = 50160^2 + 15808^2 .

It is a super-2 number, since 2×2765918464² = 15300609898992238592, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15987882 + ... + 15988054.

Almost surely, 2^2765918464 is an apocalyptic number.

2765918464 is the 52592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2765918464

2765918464 is an abundant number, since it is smaller than the sum of its proper divisors (3094864709).

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

2765918464 is an frugal number, since it uses more digits than its factorization.

2765918464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 194 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 52.

The cubic root of 2765918464 is about 1403.7177485826.

The spelling of 2765918464 in words is "two billion, seven hundred sixty-five million, nine hundred eighteen thousand, four hundred sixty-four".