2252501000 has 64 divisors (see below), whose sum is σ = 5330286000. Its totient is φ = 890841600.

The previous prime is 2252500993. The next prime is 2252501011. The reversal of 2252501000 is 1052522.

It can be written as a sum of positive squares in 8 ways, for example, as 10099684 + 2242401316 = 3178^2 + 47354^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2252501000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76346 + ... + 101654.

Almost surely, 2^2252501000 is an apocalyptic number.

2252501000 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 2252501000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2665143000).

2252501000 is an abundant number, since it is smaller than the sum of its proper divisors (3077785000).

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

2252501000 is a wasteful number, since it uses less digits than its factorization.

2252501000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25419 (or 25405 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 2252501000 is about 47460.5204354103. The cubic root of 2252501000 is about 1310.8560339320.

Adding to 2252501000 its reverse (1052522), we get a palindrome (2253553522).

The spelling of 2252501000 in words is "two billion, two hundred fifty-two million, five hundred one thousand".