2769285376 has 243 divisors, whose sum is σ = 6877787637. Its totient is φ = 1111418880.

The previous prime is 2769285347. The next prime is 2769285377. The reversal of 2769285376 is 6735829672.

The square root of 2769285376 is 52624.

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., 409657600 + 2359627776 = 20240^2 + 48576^2 .

It is a super-2 number, since 2×2769285376² = 15337882987454922752, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (7620480) is a multiple of the sum of its prime divisors (49).

It is not an unprimeable number, because it can be changed into a prime (2769285377) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 120403701 + ... + 120403723.

Almost surely, 2^2769285376 is an apocalyptic number.

2769285376 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2769285376 is the 52624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2769285376

2769285376 is an abundant number, since it is smaller than the sum of its proper divisors (4108502261).

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

2769285376 is a wasteful number, since it uses less digits than its factorization.

2769285376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 49 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 55.

The cubic root of 2769285376 is about 1404.2870926396.

The spelling of 2769285376 in words is "two billion, seven hundred sixty-nine million, two hundred eighty-five thousand, three hundred seventy-six".