2686900 has 36 divisors (see below), whose sum is σ = 5911948. Its totient is φ = 1059840.

The previous prime is 2686897. The next prime is 2686907. The reversal of 2686900 is 96862.

It can be written as a sum of positive squares in 6 ways, for example, as 309136 + 2377764 = 556^2 + 1542^2 .

It is a super-2 number, since 2×2686900² = 14438863220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2686907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9562 + ... + 9838.

2^2686900 is an apocalyptic number.

2686900 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 2686900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2955974).

2686900 is an abundant number, since it is smaller than the sum of its proper divisors (3225048).

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

2686900 is a wasteful number, since it uses less digits than its factorization.

2686900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 2686900 is about 1639.1766225761. The cubic root of 2686900 is about 139.0220967925.

The spelling of 2686900 in words is "two million, six hundred eighty-six thousand, nine hundred".