2858312800 has 144 divisors (see below), whose sum is σ = 8039485440. Its totient is φ = 972034560.

The previous prime is 2858312797. The next prime is 2858312803. The reversal of 2858312800 is 82138582.

It is an interprime number because it is at equal distance from previous prime (2858312797) and next prime (2858312803).

It is a self number, because there is not a number n which added to its sum of digits gives 2858312800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2858312803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709191 + ... + 713209.

It is an arithmetic number, because the mean of its divisors is an integer number (55829760).

Almost surely, 2^2858312800 is an apocalyptic number.

2858312800 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 2858312800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4019742720).

2858312800 is an abundant number, since it is smaller than the sum of its proper divisors (5181172640).

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

2858312800 is a wasteful number, since it uses less digits than its factorization.

2858312800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4173 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 2858312800 is about 53463.1910757299. The cubic root of 2858312800 is about 1419.1770673160.

The spelling of 2858312800 in words is "two billion, eight hundred fifty-eight million, three hundred twelve thousand, eight hundred".