2833868400 has 360 divisors, whose sum is σ = 10337515440. Its totient is φ = 662323200.

The previous prime is 2833868383. The next prime is 2833868407. The reversal of 2833868400 is 48683382.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2833868407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4210464 + ... + 4211136.

Almost surely, 2^2833868400 is an apocalyptic number.

2833868400 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 2833868400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5168757720).

2833868400 is an abundant number, since it is smaller than the sum of its proper divisors (7503647040).

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

2833868400 is a wasteful number, since it uses less digits than its factorization.

2833868400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 2833868400 is about 53234.0905811304. The cubic root of 2833868400 is about 1415.1198606570.

It can be divided in two parts, 283 and 3868400, that added together give a palindrome (3868683).

The spelling of 2833868400 in words is "two billion, eight hundred thirty-three million, eight hundred sixty-eight thousand, four hundred".