2699633664 has 704 divisors, whose sum is σ = 10454438400. Its totient is φ = 668860416.

The previous prime is 2699633621. The next prime is 2699633749. The reversal of 2699633664 is 4663369962.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2699633664.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72963054 + ... + 72963090.

Almost surely, 2^2699633664 is an apocalyptic number.

2699633664 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 2699633664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5227219200).

2699633664 is an abundant number, since it is smaller than the sum of its proper divisors (7754804736).

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

2699633664 is a wasteful number, since it uses less digits than its factorization.

2699633664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 91 counting only the distinct ones).

The product of its digits is 7558272, while the sum is 54.

The square root of 2699633664 is about 51957.9990376843. Note that the first 3 decimals coincide. The cubic root of 2699633664 is about 1392.4136701581.

The spelling of 2699633664 in words is "two billion, six hundred ninety-nine million, six hundred thirty-three thousand, six hundred sixty-four".