2281793976 has 480 divisors, whose sum is σ = 8342611200. Its totient is φ = 575890560.

The previous prime is 2281793957. The next prime is 2281793989. The reversal of 2281793976 is 6793971822.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16415715 + ... + 16415853.

It is an arithmetic number, because the mean of its divisors is an integer number (17380440).

Almost surely, 2^2281793976 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 2281793976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4171305600).

2281793976 is an abundant number, since it is smaller than the sum of its proper divisors (6060817224).

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

2281793976 is a wasteful number, since it uses less digits than its factorization.

2281793976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 209 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 2281793976 is about 47768.1271979549. The cubic root of 2281793976 is about 1316.5139836270.

The spelling of 2281793976 in words is "two billion, two hundred eighty-one million, seven hundred ninety-three thousand, nine hundred seventy-six".