2120404 has 36 divisors (see below), whose sum is σ = 4405492. Its totient is φ = 887040.

The previous prime is 2120387. The next prime is 2120411. The reversal of 2120404 is 4040212.

It can be written as a sum of positive squares in 2 ways, for example, as 435600 + 1684804 = 660^2 + 1298^2 .

It is a super-2 number, since 2×2120404² = 8992226246432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

2120404 is a modest number, since divided by 404 gives 212 as remainder.

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, 6124 + ... + 6460.

2^2120404 is an apocalyptic number.

It is an amenable number.

2120404 is an abundant number, since it is smaller than the sum of its proper divisors (2285088).

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

2120404 is a wasteful number, since it uses less digits than its factorization.

2120404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2120404 is about 1456.1607054168. The cubic root of 2120404 is about 128.4713254918.

Adding to 2120404 its reverse (4040212), we get a palindrome (6160616).

The spelling of 2120404 in words is "two million, one hundred twenty thousand, four hundred four".