2687260800 has 192 divisors, whose sum is σ = 10115870400. Its totient is φ = 614215680.

The previous prime is 2687260789. The next prime is 2687260813. The reversal of 2687260800 is 80627862.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47206 + ... + 87194.

It is an arithmetic number, because the mean of its divisors is an integer number (52686825).

Almost surely, 2^2687260800 is an apocalyptic number.

2687260800 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 2687260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5057935200).

2687260800 is an abundant number, since it is smaller than the sum of its proper divisors (7428609600).

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

2687260800 is a wasteful number, since it uses less digits than its factorization.

2687260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40023 (or 40006 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 2687260800 is about 51838.7962823212. The cubic root of 2687260800 is about 1390.2831919592.

The spelling of 2687260800 in words is "two billion, six hundred eighty-seven million, two hundred sixty thousand, eight hundred".