2687968800 has 504 divisors, whose sum is σ = 10758530160. Its totient is φ = 650073600.

The previous prime is 2687968771. The next prime is 2687968813. The reversal of 2687968800 is 88697862.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 6414991 + ... + 6415409.

It is an arithmetic number, because the mean of its divisors is an integer number (21346290).

Almost surely, 2^2687968800 is an apocalyptic number.

2687968800 is a gapful number since it is divisible by the number (20) 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 2687968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5379265080).

2687968800 is an abundant number, since it is smaller than the sum of its proper divisors (8070561360).

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

2687968800 is a wasteful number, since it uses less digits than its factorization.

2687968800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 2687968800 is about 51845.6246948573. The cubic root of 2687968800 is about 1390.4052783687.

The spelling of 2687968800 in words is "two billion, six hundred eighty-seven million, nine hundred sixty-eight thousand, eight hundred".