2691248256 has 96 divisors (see below), whose sum is σ = 8011493100. Its totient is φ = 866138112.

The previous prime is 2691248251. The next prime is 2691248279. The reversal of 2691248256 is 6528421962.

It can be written as a sum of positive squares in 2 ways, for example, as 2684897856 + 6350400 = 51816^2 + 2520^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2691248251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6871 + ... + 73686.

Almost surely, 2^2691248256 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 2691248256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4005746550).

2691248256 is an abundant number, since it is smaller than the sum of its proper divisors (5320244844).

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

2691248256 is a wasteful number, since it uses less digits than its factorization.

2691248256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80606 (or 80591 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 2691248256 is about 51877.2421780495. The cubic root of 2691248256 is about 1390.9705031592.

The spelling of 2691248256 in words is "two billion, six hundred ninety-one million, two hundred forty-eight thousand, two hundred fifty-six".