2238365664 has 240 divisors, whose sum is σ = 6893631360. Its totient is φ = 711659520.

The previous prime is 2238365621. The next prime is 2238365669. The reversal of 2238365664 is 4665638322.

It is a happy number.

2238365664 is a `hidden beast` number, since 2 + 2 + 3 + 83 + 6 + 566 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2238365669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7151172 + ... + 7151484.

It is an arithmetic number, because the mean of its divisors is an integer number (28723464).

Almost surely, 2^2238365664 is an apocalyptic number.

2238365664 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 2238365664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3446815680).

2238365664 is an abundant number, since it is smaller than the sum of its proper divisors (4655265696).

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

2238365664 is a wasteful number, since it uses less digits than its factorization.

2238365664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 438 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 2238365664 is about 47311.3692889986. The cubic root of 2238365664 is about 1308.1082310913.

The spelling of 2238365664 in words is "two billion, two hundred thirty-eight million, three hundred sixty-five thousand, six hundred sixty-four".