2281599952 has 80 divisors (see below), whose sum is σ = 4784693760. Its totient is φ = 1050489216.

The previous prime is 2281599923. The next prime is 2281599959. The reversal of 2281599952 is 2599951822.

It is a self number, because there is not a number n which added to its sum of digits gives 2281599952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2281599959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4535733 + ... + 4536235.

It is an arithmetic number, because the mean of its divisors is an integer number (59808672).

Almost surely, 2^2281599952 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 2281599952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2392346880).

2281599952 is an abundant number, since it is smaller than the sum of its proper divisors (2503093808).

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

2281599952 is a wasteful number, since it uses less digits than its factorization.

2281599952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 914 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 52.

The square root of 2281599952 is about 47766.0962608417. The cubic root of 2281599952 is about 1316.4766675864.

The spelling of 2281599952 in words is "two billion, two hundred eighty-one million, five hundred ninety-nine thousand, nine hundred fifty-two".