2695367664 has 480 divisors, whose sum is σ = 9359400960. Its totient is φ = 741830400.

The previous prime is 2695367627. The next prime is 2695367681. The reversal of 2695367664 is 4667635962.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2695367664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25190299 + ... + 25190405.

It is an arithmetic number, because the mean of its divisors is an integer number (19498752).

Almost surely, 2^2695367664 is an apocalyptic number.

2695367664 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 2695367664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4679700480).

2695367664 is an abundant number, since it is smaller than the sum of its proper divisors (6664033296).

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

2695367664 is a wasteful number, since it uses less digits than its factorization.

2695367664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 173 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The square root of 2695367664 is about 51916.9304177356. The cubic root of 2695367664 is about 1391.6798461101.

The spelling of 2695367664 in words is "two billion, six hundred ninety-five million, three hundred sixty-seven thousand, six hundred sixty-four".