2252112500 has 108 divisors (see below), whose sum is σ = 5418364140. Its totient is φ = 818400000.

The previous prime is 2252112491. The next prime is 2252112523. The reversal of 2252112500 is 52112522.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2081914384 + 170198116 = 45628^2 + 13046^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent 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 35 ways as a sum of consecutive naturals, for example, 1511756 + ... + 1513244.

Almost surely, 2^2252112500 is an apocalyptic number.

2252112500 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 2252112500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709182070).

2252112500 is an abundant number, since it is smaller than the sum of its proper divisors (3166251640).

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

2252112500 is a wasteful number, since it uses less digits than its factorization.

2252112500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 2252112500 is about 47456.4273834430. The cubic root of 2252112500 is about 1310.7806663220.

The spelling of 2252112500 in words is "two billion, two hundred fifty-two million, one hundred twelve thousand, five hundred".