2290159872 has 576 divisors, whose sum is σ = 9120491520. Its totient is φ = 547430400.

The previous prime is 2290159867. The next prime is 2290159873. The reversal of 2290159872 is 2789510922.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (2290159873) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6918747 + ... + 6919077.

Almost surely, 2^2290159872 is an apocalyptic number.

2290159872 is a gapful number since it is divisible by the number (22) 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 2290159872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4560245760).

2290159872 is an abundant number, since it is smaller than the sum of its proper divisors (6830331648).

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

2290159872 is a wasteful number, since it uses less digits than its factorization.

2290159872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 2290159872 is about 47855.6148429837. The cubic root of 2290159872 is about 1318.1209627989.

The spelling of 2290159872 in words is "two billion, two hundred ninety million, one hundred fifty-nine thousand, eight hundred seventy-two".