2859249600 has 504 divisors, whose sum is σ = 10833994080. Its totient is φ = 713687040.

The previous prime is 2859249593. The next prime is 2859249641. The reversal of 2859249600 is 69429582.

2859249600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29476752 + ... + 29476848.

It is an arithmetic number, because the mean of its divisors is an integer number (21496020).

Almost surely, 2^2859249600 is an apocalyptic number.

2859249600 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 2859249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416997040).

2859249600 is an abundant number, since it is smaller than the sum of its proper divisors (7974744480).

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

2859249600 is a wasteful number, since it uses less digits than its factorization.

2859249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2859249600 is about 53471.9515260103. The cubic root of 2859249600 is about 1419.3320934860.

The spelling of 2859249600 in words is "two billion, eight hundred fifty-nine million, two hundred forty-nine thousand, six hundred".