2282537664 has 336 divisors, whose sum is σ = 7686080640. Its totient is φ = 658690560.

The previous prime is 2282537651. The next prime is 2282537671. The reversal of 2282537664 is 4667352822.

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, 10055119 + ... + 10055345.

It is an arithmetic number, because the mean of its divisors is an integer number (22875240).

Almost surely, 2^2282537664 is an apocalyptic number.

2282537664 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 2282537664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843040320).

2282537664 is an abundant number, since it is smaller than the sum of its proper divisors (5403542976).

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

2282537664 is a wasteful number, since it uses less digits than its factorization.

2282537664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 266 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 2282537664 is about 47775.9109175325. The cubic root of 2282537664 is about 1316.6569952680.

The spelling of 2282537664 in words is "two billion, two hundred eighty-two million, five hundred thirty-seven thousand, six hundred sixty-four".