2687883264 has 288 divisors, whose sum is σ = 8800384320. Its totient is φ = 812851200.

The previous prime is 2687883251. The next prime is 2687883269. The reversal of 2687883264 is 4623887862.

It is a tau number, because it is divible by the number of its divisors (288).

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 2687883264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2687883269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5474059 + ... + 5474549.

It is an arithmetic number, because the mean of its divisors is an integer number (30556890).

Almost surely, 2^2687883264 is an apocalyptic number.

2687883264 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 2687883264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4400192160).

2687883264 is an abundant number, since it is smaller than the sum of its proper divisors (6112501056).

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

2687883264 is an equidigital number, since it uses as much as digits as its factorization.

2687883264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 507 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 2687883264 is about 51844.7997777984. The cubic root of 2687883264 is about 1390.3905298137.

The spelling of 2687883264 in words is "two billion, six hundred eighty-seven million, eight hundred eighty-three thousand, two hundred sixty-four".