2281951872 has 128 divisors (see below), whose sum is σ = 6772147200. Its totient is φ = 756449280.

The previous prime is 2281951843. The next prime is 2281951891. The reversal of 2281951872 is 2781591822.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2281951872² = 10414608692248608768, which contains 22 as substring.

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, 658368 + ... + 661824.

It is an arithmetic number, because the mean of its divisors is an integer number (52907400).

Almost surely, 2^2281951872 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 2281951872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386073600).

2281951872 is an abundant number, since it is smaller than the sum of its proper divisors (4490195328).

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

2281951872 is a wasteful number, since it uses less digits than its factorization.

2281951872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3671 (or 3653 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 2281951872 is about 47769.7799031982. The cubic root of 2281951872 is about 1316.5443497190.

It can be divided in two parts, 22819 and 51872, that added together give a triangular number (74691 = T₃₈₆).

The spelling of 2281951872 in words is "two billion, two hundred eighty-one million, nine hundred fifty-one thousand, eight hundred seventy-two".