2640100 has 36 divisors (see below), whose sum is σ = 6069924. Its totient is φ = 993280.

The previous prime is 2640067. The next prime is 2640137. The reversal of 2640100 is 10462.

It can be written as a sum of positive squares in 6 ways, for example, as 131044 + 2509056 = 362^2 + 1584^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 924 + ... + 2476.

It is an arithmetic number, because the mean of its divisors is an integer number (168609).

2^2640100 is an apocalyptic number.

2640100 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 2640100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034962).

2640100 is an abundant number, since it is smaller than the sum of its proper divisors (3429824).

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

2640100 is a wasteful number, since it uses less digits than its factorization.

2640100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2640100 is about 1624.8384535085. The cubic root of 2640100 is about 138.2102096346.

Adding to 2640100 its reverse (10462), we get a palindrome (2650562).

The spelling of 2640100 in words is "two million, six hundred forty thousand, one hundred".