2824025480900 has 144 divisors (see below), whose sum is σ = 6618076416000. Its totient is φ = 1039791168000.

The previous prime is 2824025480891. The next prime is 2824025480917. The reversal of 2824025480900 is 90845204282.

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, 1412718101 + ... + 1412720099.

It is an arithmetic number, because the mean of its divisors is an integer number (45958864000).

Almost surely, 2^{2824025480900} is an apocalyptic number.

2824025480900 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 2824025480900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3309038208000).

2824025480900 is an abundant number, since it is smaller than the sum of its proper divisors (3794050935100).

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

2824025480900 is a wasteful number, since it uses less digits than its factorization.

2824025480900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4534 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The spelling of 2824025480900 in words is "two trillion, eight hundred twenty-four billion, twenty-five million, four hundred eighty thousand, nine hundred".