2683285920 has 384 divisors, whose sum is σ = 10864627200. Its totient is φ = 605822976.

The previous prime is 2683285903. The next prime is 2683285921. The reversal of 2683285920 is 295823862.

It is a happy number.

2683285920 is a `hidden beast` number, since 26 + 8 + 32 + 8 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2683285921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2690862 + ... + 2691858.

It is an arithmetic number, because the mean of its divisors is an integer number (28293300).

Almost surely, 2^2683285920 is an apocalyptic number.

2683285920 is a gapful number since it is divisible by the number (20) 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 2683285920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5432313600).

2683285920 is an abundant number, since it is smaller than the sum of its proper divisors (8181341280).

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

2683285920 is a wasteful number, since it uses less digits than its factorization.

2683285920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2683285920 is about 51800.4432413469. The cubic root of 2683285920 is about 1389.5973714383.

The spelling of 2683285920 in words is "two billion, six hundred eighty-three million, two hundred eighty-five thousand, nine hundred twenty".