2825841232800 has 720 divisors, whose sum is σ = 10692690624000. Its totient is φ = 725482137600.

The previous prime is 2825841232793. The next prime is 2825841232901. The reversal of 2825841232800 is 82321485282.

2825841232800 is a `hidden beast` number, since 2 + 82 + 58 + 412 + 32 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×2825841232800³ (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 399747666 + ... + 399754734.

It is an arithmetic number, because the mean of its divisors is an integer number (14850959200).

Almost surely, 2^{2825841232800} is an apocalyptic number.

2825841232800 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 2825841232800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346345312000).

2825841232800 is an abundant number, since it is smaller than the sum of its proper divisors (7866849391200).

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

2825841232800 is a wasteful number, since it uses less digits than its factorization.

2825841232800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7331 (or 7309 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 2825841232800 in words is "two trillion, eight hundred twenty-five billion, eight hundred forty-one million, two hundred thirty-two thousand, eight hundred".