2252020100 has 72 divisors (see below), whose sum is σ = 5361073536. Its totient is φ = 814320000.

The previous prime is 2252020093. The next prime is 2252020117. The reversal of 2252020100 is 10202522.

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, 193445 + ... + 204755.

Almost surely, 2^2252020100 is an apocalyptic number.

2252020100 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 2252020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2680536768).

2252020100 is an abundant number, since it is smaller than the sum of its proper divisors (3109053436).

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

2252020100 is a wasteful number, since it uses less digits than its factorization.

2252020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11517 (or 11510 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 2252020100 is about 47455.4538488465. The cubic root of 2252020100 is about 1310.7627397767.

Adding to 2252020100 its reverse (10202522), we get a palindrome (2262222622).

The spelling of 2252020100 in words is "two billion, two hundred fifty-two million, twenty thousand, one hundred".