2288958100 has 144 divisors (see below), whose sum is σ = 5936495040. Its totient is φ = 755020800.

The previous prime is 2288958097. The next prime is 2288958103. The reversal of 2288958100 is 18598822.

It is an interprime number because it is at equal distance from previous prime (2288958097) and next prime (2288958103).

It is a super-2 number, since 2×2288958100² = 10478658367111220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2288958103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 842344 + ... + 845056.

It is an arithmetic number, because the mean of its divisors is an integer number (41225660).

Almost surely, 2^2288958100 is an apocalyptic number.

2288958100 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 2288958100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968247520).

2288958100 is an abundant number, since it is smaller than the sum of its proper divisors (3647536940).

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

2288958100 is a wasteful number, since it uses less digits than its factorization.

2288958100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 43.

The square root of 2288958100 is about 47843.0569675475. The cubic root of 2288958100 is about 1317.8903590973.

The spelling of 2288958100 in words is "two billion, two hundred eighty-eight million, nine hundred fifty-eight thousand, one hundred".