2242882488 has 512 divisors, whose sum is σ = 7962624000. Its totient is φ = 519321600.

The previous prime is 2242882459. The next prime is 2242882489. The reversal of 2242882488 is 8842882422.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242882489) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47720881 + ... + 47720927.

It is an arithmetic number, because the mean of its divisors is an integer number (15552000).

Almost surely, 2^2242882488 is an apocalyptic number.

2242882488 is a gapful number since it is divisible by the number (28) 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 2242882488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3981312000).

2242882488 is an abundant number, since it is smaller than the sum of its proper divisors (5719741512).

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

2242882488 is a wasteful number, since it uses less digits than its factorization.

2242882488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 118 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 48.

The square root of 2242882488 is about 47359.0803120162. The cubic root of 2242882488 is about 1308.9875221627.

The spelling of 2242882488 in words is "two billion, two hundred forty-two million, eight hundred eighty-two thousand, four hundred eighty-eight".