2281182080 has 64 divisors (see below), whose sum is σ = 5460043680. Its totient is φ = 911370240.

The previous prime is 2281182049. The next prime is 2281182109. The reversal of 2281182080 is 802811822.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2281182080² = 10407583364226252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 713285 + ... + 716475.

Almost surely, 2^2281182080 is an apocalyptic number.

2281182080 is a gapful number since it is divisible by the number (20) 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 2281182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730021840).

2281182080 is an abundant number, since it is smaller than the sum of its proper divisors (3178861600).

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

2281182080 is a wasteful number, since it uses less digits than its factorization.

2281182080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4327 (or 4315 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The square root of 2281182080 is about 47761.7219120082. The cubic root of 2281182080 is about 1316.3962923618.

The spelling of 2281182080 in words is "two billion, two hundred eighty-one million, one hundred eighty-two thousand, eighty".