2686640400 has 300 divisors, whose sum is σ = 9749464164. Its totient is φ = 708480000.

The previous prime is 2686640371. The next prime is 2686640431. The reversal of 2686640400 is 40466862.

It is a happy number.

2686640400 is a `hidden beast` number, since 2 + 6 + 8 + 6 + 640 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2985984 + 2683654416 = 1728^2 + 51804^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3271990 + ... + 3272810.

Almost surely, 2^2686640400 is an apocalyptic number.

2686640400 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 2686640400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874732082).

2686640400 is an abundant number, since it is smaller than the sum of its proper divisors (7062823764).

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

2686640400 is a wasteful number, since it uses less digits than its factorization.

2686640400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2686640400 is about 51832.8120016655. The cubic root of 2686640400 is about 1390.1761935270.

The spelling of 2686640400 in words is "two billion, six hundred eighty-six million, six hundred forty thousand, four hundred".