2238875100 has 576 divisors, whose sum is σ = 9149414400. Its totient is φ = 459993600.

The previous prime is 2238875099. The next prime is 2238875101. The reversal of 2238875100 is 15788322.

It is an interprime number because it is at equal distance from previous prime (2238875099) and next prime (2238875101).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2238875101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25155856 + ... + 25155944.

It is an arithmetic number, because the mean of its divisors is an integer number (15884400).

Almost surely, 2^2238875100 is an apocalyptic number.

2238875100 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 2238875100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4574707200).

2238875100 is an abundant number, since it is smaller than the sum of its proper divisors (6910539300).

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

2238875100 is a wasteful number, since it uses less digits than its factorization.

2238875100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2238875100 is about 47316.7528471682. The cubic root of 2238875100 is about 1308.2074622530.

The spelling of 2238875100 in words is "two billion, two hundred thirty-eight million, eight hundred seventy-five thousand, one hundred".