2687850864 has 100 divisors (see below), whose sum is σ = 7792387416. Its totient is φ = 894457728.

The previous prime is 2687850857. The next prime is 2687850871. The reversal of 2687850864 is 4680587862.

2687850864 is a `hidden beast` number, since 2 + 6 + 8 + 78 + 508 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (2687850857) and next prime (2687850871).

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 2687850864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1000467 + ... + 1003149.

Almost surely, 2^2687850864 is an apocalyptic number.

2687850864 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 2687850864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3896193708).

2687850864 is an abundant number, since it is smaller than the sum of its proper divisors (5104536552).

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

2687850864 is a wasteful number, since it uses less digits than its factorization.

2687850864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3476 (or 3461 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The square root of 2687850864 is about 51844.4873057879. The cubic root of 2687850864 is about 1390.3849431581.

The spelling of 2687850864 in words is "two billion, six hundred eighty-seven million, eight hundred fifty thousand, eight hundred sixty-four".