2636100 has 108 divisors (see below), whose sum is σ = 8632260. Its totient is φ = 672000.

The previous prime is 2636087. The next prime is 2636107. The reversal of 2636100 is 16362.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 69696 + 2566404 = 264^2 + 1602^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2636107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26050 + ... + 26150.

2^2636100 is an apocalyptic number.

2636100 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 2636100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4316130).

2636100 is an abundant number, since it is smaller than the sum of its proper divisors (5996160).

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

2636100 is a wasteful number, since it uses less digits than its factorization.

2636100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2636100 is about 1623.6070953282. The cubic root of 2636100 is about 138.1403738612.

The spelling of 2636100 in words is "two million, six hundred thirty-six thousand, one hundred".