2259240100 has 72 divisors (see below), whose sum is σ = 5289036480. Its totient is φ = 832702080.

The previous prime is 2259240083. The next prime is 2259240101. The reversal of 2259240100 is 10429522.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2259240101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 964731 + ... + 967069.

It is an arithmetic number, because the mean of its divisors is an integer number (73458840).

Almost surely, 2^2259240100 is an apocalyptic number.

2259240100 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 2259240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644518240).

2259240100 is an abundant number, since it is smaller than the sum of its proper divisors (3029796380).

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

2259240100 is a wasteful number, since it uses less digits than its factorization.

2259240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3109 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 2259240100 is about 47531.4643157561. The cubic root of 2259240100 is about 1312.1620184917.

Adding to 2259240100 its reverse (10429522), we get a palindrome (2269669622).

The spelling of 2259240100 in words is "two billion, two hundred fifty-nine million, two hundred forty thousand, one hundred".