2338563864 has 192 divisors, whose sum is σ = 7471319040. Its totient is φ = 596643840.

The previous prime is 2338563853. The next prime is 2338563869. The reversal of 2338563864 is 4683658332.

It is a super-2 number, since 2×2338563864² = 10937761892013220992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2338563869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 878824 + ... + 881480.

It is an arithmetic number, because the mean of its divisors is an integer number (38913120).

Almost surely, 2^2338563864 is an apocalyptic number.

2338563864 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 2338563864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3735659520).

2338563864 is an abundant number, since it is smaller than the sum of its proper divisors (5132755176).

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

2338563864 is a wasteful number, since it uses less digits than its factorization.

2338563864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730 (or 2713 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 48.

The square root of 2338563864 is about 48358.6999825264. The cubic root of 2338563864 is about 1327.3427382769.

The spelling of 2338563864 in words is "two billion, three hundred thirty-eight million, five hundred sixty-three thousand, eight hundred sixty-four".