2608100 has 36 divisors (see below), whose sum is σ = 6176688. Its totient is φ = 948000.

The previous prime is 2608097. The next prime is 2608103. The reversal of 2608100 is 18062.

It is an interprime number because it is at equal distance from previous prime (2608097) and next prime (2608103).

It is a super-2 number, since 2×2608100² = 13604371220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2608103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 86 + ... + 2285.

2^2608100 is an apocalyptic number.

2608100 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 2608100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088344).

2608100 is an abundant number, since it is smaller than the sum of its proper divisors (3568588).

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

2608100 is a wasteful number, since it uses less digits than its factorization.

2608100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2608100 is about 1614.9612998459. The cubic root of 2608100 is about 137.6495342889.

The spelling of 2608100 in words is "two million, six hundred eight thousand, one hundred".