2864325600 has 432 divisors, whose sum is σ = 10714564224. Its totient is φ = 718848000.

The previous prime is 2864325553. The next prime is 2864325613. The reversal of 2864325600 is 65234682.

2864325600 is a `hidden beast` number, since 2 + 8 + 6 + 43 + 2 + 5 + 600 = 666.

It is a super-2 number, since 2×2864325600² = 16408722285630720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 9151044 + ... + 9151356.

It is an arithmetic number, because the mean of its divisors is an integer number (24802232).

Almost surely, 2^2864325600 is an apocalyptic number.

2864325600 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 2864325600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5357282112).

2864325600 is an abundant number, since it is smaller than the sum of its proper divisors (7850238624).

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

2864325600 is a wasteful number, since it uses less digits than its factorization.

2864325600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2864325600 is about 53519.3946154102. The cubic root of 2864325600 is about 1420.1715060983.

The spelling of 2864325600 in words is "two billion, eight hundred sixty-four million, three hundred twenty-five thousand, six hundred".