2669315510416 has 45 divisors (see below), whose sum is σ = 5196569374681. Its totient is φ = 1328295722432.

The previous prime is 2669315510263. The next prime is 2669315510431. The reversal of 2669315510416 is 6140155139662.

The square root of 2669315510416 is 1633804.

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

2669315510416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 501824892816 + 2167490617600 = 708396^2 + 1472240^2 .

It is a super-3 number, since 3×2669315510416³ (a number of 38 digits) contains 333 as substring.

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 2669315510416.

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, 1561915770 + ... + 1561917478.

Almost surely, 2^{2669315510416} is an apocalyptic number.

2669315510416 is the 1633804-th square number.

It is an amenable number.

2669315510416 is a deficient number, since it is larger than the sum of its proper divisors (2527253864265).

2669315510416 is an frugal number, since it uses more digits than its factorization.

2669315510416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3904 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 49.

Multiplying 2669315510416 by its sum of digits (49), we get a square (130796460010384 = 11436628²).

The spelling of 2669315510416 in words is "two trillion, six hundred sixty-nine billion, three hundred fifteen million, five hundred ten thousand, four hundred sixteen".