2100456 has 24 divisors (see below), whose sum is σ = 5688930. Its totient is φ = 700128.

The previous prime is 2100451. The next prime is 2100463. The reversal of 2100456 is 6540012.

It is a happy number.

2100456 is a `hidden beast` number, since 210 + 0 + 456 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2056356 + 44100 = 1434^2 + 210^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (2100451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14515 + ... + 14658.

2^2100456 is an apocalyptic number.

It is an amenable number.

2100456 is an abundant number, since it is smaller than the sum of its proper divisors (3588474).

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

2100456 is a wasteful number, since it uses less digits than its factorization.

2100456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29185 (or 29178 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2100456 is about 1449.2950010264. The cubic root of 2100456 is about 128.0671847819.

Adding to 2100456 its reverse (6540012), we get a palindrome (8640468).

It can be divided in two parts, 2100 and 456, that added together give a triangular number (2556 = T₇₁).

The spelling of 2100456 in words is "two million, one hundred thousand, four hundred fifty-six".