2282436772 has 96 divisors (see below), whose sum is σ = 5068014336. Its totient is φ = 873676800.

The previous prime is 2282436743. The next prime is 2282436791. The reversal of 2282436772 is 2776342822.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 7199958 + ... + 7200274.

It is an arithmetic number, because the mean of its divisors is an integer number (52791816).

Almost surely, 2^2282436772 is an apocalyptic number.

2282436772 is a gapful number since it is divisible by the number (22) 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 2282436772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534007168).

2282436772 is an abundant number, since it is smaller than the sum of its proper divisors (2785577564).

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

2282436772 is a wasteful number, since it uses less digits than its factorization.

2282436772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 675 counting only the distinct ones).

The product of its digits is 451584, while the sum is 43.

The square root of 2282436772 is about 47774.8550180950. The cubic root of 2282436772 is about 1316.6375954984.

The spelling of 2282436772 in words is "two billion, two hundred eighty-two million, four hundred thirty-six thousand, seven hundred seventy-two".