2053284900 has 72 divisors (see below), whose sum is σ = 5950973280. Its totient is φ = 546608640.

The previous prime is 2053284889. The next prime is 2053284917. The reversal of 2053284900 is 94823502.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180172 + ... + 191228.

Almost surely, 2^2053284900 is an apocalyptic number.

2053284900 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 2053284900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975486640).

2053284900 is an abundant number, since it is smaller than the sum of its proper divisors (3897688380).

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

2053284900 is a wasteful number, since it uses less digits than its factorization.

2053284900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11693 (or 11686 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2053284900 is about 45313.1868223810. The cubic root of 2053284900 is about 1271.0122543271.

The spelling of 2053284900 in words is "two billion, fifty-three million, two hundred eighty-four thousand, nine hundred".