2100640 has 48 divisors (see below), whose sum is σ = 5231520. Its totient is φ = 794880.

The previous prime is 2100629. The next prime is 2100649. The reversal of 2100640 is 460012.

2100640 = T₁₆₁ + T₁₆₂ + ... + T₂₅₅.

It is a self number, because there is not a number n which added to its sum of digits gives 2100640.

It is not an unprimeable number, because it can be changed into a prime (2100649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2695 + ... + 3385.

It is an arithmetic number, because the mean of its divisors is an integer number (108990).

2^2100640 is an apocalyptic number.

2100640 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 2100640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615760).

2100640 is an abundant number, since it is smaller than the sum of its proper divisors (3130880).

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

2100640 is a wasteful number, since it uses less digits than its factorization.

2100640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 717 counting only the distinct ones).

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

The square root of 2100640 is about 1449.3584787760. The cubic root of 2100640 is about 128.0709242356.

Adding to 2100640 its reverse (460012), we get a palindrome (2560652).

The spelling of 2100640 in words is "two million, one hundred thousand, six hundred forty".