2120640 has 84 divisors (see below), whose sum is σ = 6879336. Its totient is φ = 553472.

The previous prime is 2120639. The next prime is 2120653. The reversal of 2120640 is 460212.

It is a super-2 number, since 2×2120640² = 8994228019200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 45097 + ... + 45143.

2^2120640 is an apocalyptic number.

2120640 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 2120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439668).

2120640 is an abundant number, since it is smaller than the sum of its proper divisors (4758696).

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

2120640 is an equidigital number, since it uses as much as digits as its factorization.

2120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2120640 is about 1456.2417381740. The cubic root of 2120640 is about 128.4760915816.

Multiplying 2120640 by its sum of digits (15), we get a square (31809600 = 5640²).

2120640 divided by its sum of digits (15) gives a square (141376 = 376²).

Adding to 2120640 its reverse (460212), we get a palindrome (2580852).

The spelling of 2120640 in words is "two million, one hundred twenty thousand, six hundred forty".