2183340768 has 192 divisors, whose sum is σ = 6931169280. Its totient is φ = 587865600.

The previous prime is 2183340751. The next prime is 2183340769. The reversal of 2183340768 is 8670433812.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (2183340769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3459813 + ... + 3460443.

It is an arithmetic number, because the mean of its divisors is an integer number (36099840).

Almost surely, 2^2183340768 is an apocalyptic number.

2183340768 is a gapful number since it is divisible by the number (28) 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 2183340768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3465584640).

2183340768 is an abundant number, since it is smaller than the sum of its proper divisors (4747828512).

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

2183340768 is a wasteful number, since it uses less digits than its factorization.

2183340768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 2183340768 is about 46726.2321185862. The cubic root of 2183340768 is about 1297.3002687053.

The spelling of 2183340768 in words is "two billion, one hundred eighty-three million, three hundred forty thousand, seven hundred sixty-eight".