2289752100 has 216 divisors, whose sum is σ = 7674586920. Its totient is φ = 568995840.

The previous prime is 2289752093. The next prime is 2289752119. The reversal of 2289752100 is 12579822.

It can be written as a sum of positive squares in 12 ways, for example, as 6441444 + 2283310656 = 2538^2 + 47784^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 1667014 + ... + 1668386.

It is an arithmetic number, because the mean of its divisors is an integer number (35530495).

Almost surely, 2^2289752100 is an apocalyptic number.

2289752100 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 2289752100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3837293460).

2289752100 is an abundant number, since it is smaller than the sum of its proper divisors (5384834820).

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

2289752100 is a wasteful number, since it uses less digits than its factorization.

2289752100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2289752100 is about 47851.3542128120. The cubic root of 2289752100 is about 1318.0427259428.

The spelling of 2289752100 in words is "two billion, two hundred eighty-nine million, seven hundred fifty-two thousand, one hundred".