2692782864 has 120 divisors (see below), whose sum is σ = 8015292792. Its totient is φ = 840990720.

The previous prime is 2692782839. The next prime is 2692782889. The reversal of 2692782864 is 4682872962.

It is an interprime number because it is at equal distance from previous prime (2692782839) and next prime (2692782889).

It can be written as a sum of positive squares in 4 ways, for example, as 411765264 + 2281017600 = 20292^2 + 47760^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2692782864.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568024 + ... + 572744.

Almost surely, 2^2692782864 is an apocalyptic number.

2692782864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2692782864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007646396).

2692782864 is an abundant number, since it is smaller than the sum of its proper divisors (5322509928).

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

2692782864 is a wasteful number, since it uses less digits than its factorization.

2692782864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4985 (or 4976 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 2692782864 is about 51892.0308332599. The cubic root of 2692782864 is about 1391.2348400835.

The spelling of 2692782864 in words is "two billion, six hundred ninety-two million, seven hundred eighty-two thousand, eight hundred sixty-four".