2288132064 has 120 divisors (see below), whose sum is σ = 6758063928. Its totient is φ = 759456000.

The previous prime is 2288132029. The next prime is 2288132071. The reversal of 2288132064 is 4602318822.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 648834 + ... + 652350.

Almost surely, 2^2288132064 is an apocalyptic number.

2288132064 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 2288132064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3379031964).

2288132064 is an abundant number, since it is smaller than the sum of its proper divisors (4469931864).

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

2288132064 is a wasteful number, since it uses less digits than its factorization.

2288132064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3790 (or 3773 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2288132064 is about 47834.4234207960. The cubic root of 2288132064 is about 1317.7318072129.

It can be divided in two parts, 22881 and 32064, that added together give a palindrome (54945).

The spelling of 2288132064 in words is "two billion, two hundred eighty-eight million, one hundred thirty-two thousand, sixty-four".