2769873408 has 280 divisors, whose sum is σ = 8547054516. Its totient is φ = 895795200.

The previous prime is 2769873377. The next prime is 2769873437. The reversal of 2769873408 is 8043789672.

It can be written as a sum of positive squares in 2 ways, for example, as 1829101824 + 940771584 = 42768^2 + 30672^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 27 ways as a sum of consecutive naturals, for example, 15303078 + ... + 15303258.

Almost surely, 2^2769873408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2769873408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4273527258).

2769873408 is an abundant number, since it is smaller than the sum of its proper divisors (5777181108).

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

2769873408 is an frugal number, since it uses more digits than its factorization.

2769873408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 2769873408 is about 52629.5868119825. The cubic root of 2769873408 is about 1404.3864813741.

The spelling of 2769873408 in words is "two billion, seven hundred sixty-nine million, eight hundred seventy-three thousand, four hundred eight".