2687953664 has 54 divisors (see below), whose sum is σ = 5859168924. Its totient is φ = 1220546560.

The previous prime is 2687953663. The next prime is 2687953699. The reversal of 2687953664 is 4663597862.

It is a happy number.

It is a super-2 number, since 2×2687953664² = 14450189799622049792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2687953663) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2750744 + ... + 2751720.

Almost surely, 2^2687953664 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 2687953664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2929584462).

2687953664 is an abundant number, since it is smaller than the sum of its proper divisors (3171215260).

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

2687953664 is an frugal number, since it uses more digits than its factorization.

2687953664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981 (or 990 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 56.

The square root of 2687953664 is about 51845.4787228356. The cubic root of 2687953664 is about 1390.4026685649.

The spelling of 2687953664 in words is "two billion, six hundred eighty-seven million, nine hundred fifty-three thousand, six hundred sixty-four".