2282367864 has 192 divisors, whose sum is σ = 6837264000. Its totient is φ = 632814336.

The previous prime is 2282367851. The next prime is 2282367911. The reversal of 2282367864 is 4687632822.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6539562 + ... + 6539910.

It is an arithmetic number, because the mean of its divisors is an integer number (35610750).

Almost surely, 2^2282367864 is an apocalyptic number.

2282367864 is a gapful number since it is divisible by the number (24) 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 2282367864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3418632000).

2282367864 is an abundant number, since it is smaller than the sum of its proper divisors (4554896136).

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

2282367864 is a wasteful number, since it uses less digits than its factorization.

2282367864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 511 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The square root of 2282367864 is about 47774.1338383021. The cubic root of 2282367864 is about 1316.6243453648.

The spelling of 2282367864 in words is "two billion, two hundred eighty-two million, three hundred sixty-seven thousand, eight hundred sixty-four".