2825715200 has 480 divisors, whose sum is σ = 9060277248. Its totient is φ = 847872000.

The previous prime is 2825715181. The next prime is 2825715223. The reversal of 2825715200 is 25175282.

It is a happy number.

It is a super-2 number, since 2×2825715200² = 15969332783022080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46323170 + ... + 46323230.

Almost surely, 2^2825715200 is an apocalyptic number.

2825715200 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 2825715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4530138624).

2825715200 is an abundant number, since it is smaller than the sum of its proper divisors (6234562048).

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

2825715200 is a wasteful number, since it uses less digits than its factorization.

2825715200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 2825715200 is about 53157.4566735468. The cubic root of 2825715200 is about 1413.7614303817.

The spelling of 2825715200 in words is "two billion, eight hundred twenty-five million, seven hundred fifteen thousand, two hundred".