2916266613264 has 135 divisors (see below), whose sum is σ = 8248957581319. Its totient is φ = 961781145600.

The previous prime is 2916266613251. The next prime is 2916266613269. The reversal of 2916266613264 is 4623166626192.

The square root of 2916266613264 is 1707708.

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 21640763664 + 2894625849600 = 147108^2 + 1701360^2 .

It is a super-2 number, since 2×2916266613264² (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 2916266613264.

It is not an unprimeable number, because it can be changed into a prime (2916266613269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2069741392 + ... + 2069742800.

Almost surely, 2^{2916266613264} is an apocalyptic number.

2916266613264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2916266613264 is the 1707708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2916266613264

2916266613264 is an abundant number, since it is smaller than the sum of its proper divisors (5332690968055).

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

2916266613264 is an equidigital number, since it uses as much as digits as its factorization.

2916266613264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034 (or 1515 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 2916266613264 in words is "two trillion, nine hundred sixteen billion, two hundred sixty-six million, six hundred thirteen thousand, two hundred sixty-four".