2683863936 has 512 divisors, whose sum is σ = 9212313600. Its totient is φ = 763084800.

The previous prime is 2683863929. The next prime is 2683863953. The reversal of 2683863936 is 6393683862.

It is a super-2 number, since 2×2683863936² = 14406251253922824192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57103465 + ... + 57103511.

It is an arithmetic number, because the mean of its divisors is an integer number (17992800).

Almost surely, 2^2683863936 is an apocalyptic number.

2683863936 is a gapful number since it is divisible by the number (26) 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 2683863936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4606156800).

2683863936 is an abundant number, since it is smaller than the sum of its proper divisors (6528449664).

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

2683863936 is a wasteful number, since it uses less digits than its factorization.

2683863936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 137 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The square root of 2683863936 is about 51806.0221981962. The cubic root of 2683863936 is about 1389.6971436170.

The spelling of 2683863936 in words is "two billion, six hundred eighty-three million, eight hundred sixty-three thousand, nine hundred thirty-six".