2859468800 has 72 divisors (see below), whose sum is σ = 7089878250. Its totient is φ = 1143767040.

The previous prime is 2859468797. The next prime is 2859468803. The reversal of 2859468800 is 88649582.

It is an interprime number because it is at equal distance from previous prime (2859468797) and next prime (2859468803).

It can be written as a sum of positive squares in 3 ways, for example, as 2553078784 + 306390016 = 50528^2 + 17504^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (2859468803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23276 + ... + 79124.

Almost surely, 2^2859468800 is an apocalyptic number.

2859468800 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 2859468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3544939125).

2859468800 is an abundant number, since it is smaller than the sum of its proper divisors (4230409450).

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

2859468800 is an equidigital number, since it uses as much as digits as its factorization.

2859468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55881 (or 55856 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 50.

The square root of 2859468800 is about 53474.0011594420. The cubic root of 2859468800 is about 1419.3683628677.

The spelling of 2859468800 in words is "two billion, eight hundred fifty-nine million, four hundred sixty-eight thousand, eight hundred".