2242315008 has 144 divisors (see below), whose sum is σ = 6655672800. Its totient is φ = 744652800.

The previous prime is 2242314967. The next prime is 2242315021. The reversal of 2242315008 is 8005132422.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2771308 + ... + 2772116.

It is an arithmetic number, because the mean of its divisors is an integer number (46219950).

Almost surely, 2^2242315008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242315008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327836400).

2242315008 is an abundant number, since it is smaller than the sum of its proper divisors (4413357792).

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

2242315008 is an equidigital number, since it uses as much as digits as its factorization.

2242315008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2242315008 is about 47353.0886849000. The cubic root of 2242315008 is about 1308.8771155914.

The spelling of 2242315008 in words is "two billion, two hundred forty-two million, three hundred fifteen thousand, eight".