2383743264 has 384 divisors, whose sum is σ = 8026324992. Its totient is φ = 603832320.

The previous prime is 2383743259. The next prime is 2383743269. The reversal of 2383743264 is 4623473832.

It is an interprime number because it is at equal distance from previous prime (2383743259) and next prime (2383743269).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2383743269) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18769569 + ... + 18769695.

It is an arithmetic number, because the mean of its divisors is an integer number (20901888).

Almost surely, 2^2383743264 is an apocalyptic number.

2383743264 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 2383743264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4013162496).

2383743264 is an abundant number, since it is smaller than the sum of its proper divisors (5642581728).

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

2383743264 is a wasteful number, since it uses less digits than its factorization.

2383743264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 240 counting only the distinct ones).

The product of its digits is 580608, while the sum is 42.

The square root of 2383743264 is about 48823.5933130695. The cubic root of 2383743264 is about 1335.8360502556.

The spelling of 2383743264 in words is "two billion, three hundred eighty-three million, seven hundred forty-three thousand, two hundred sixty-four".