2252541300 has 72 divisors (see below), whose sum is σ = 6531831936. Its totient is φ = 599343360.

The previous prime is 2252541281. The next prime is 2252541307. The reversal of 2252541300 is 31452522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252541307) by changing a digit.

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, 130792 + ... + 147008.

It is an arithmetic number, because the mean of its divisors is an integer number (90719888).

Almost surely, 2^2252541300 is an apocalyptic number.

2252541300 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 2252541300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265915968).

2252541300 is an abundant number, since it is smaller than the sum of its proper divisors (4279290636).

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

2252541300 is a wasteful number, since it uses less digits than its factorization.

2252541300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16697 (or 16690 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2252541300 is about 47460.9449969130. The cubic root of 2252541300 is about 1310.8638514917.

Adding to 2252541300 its reverse (31452522), we get a palindrome (2283993822).

The spelling of 2252541300 in words is "two billion, two hundred fifty-two million, five hundred forty-one thousand, three hundred".