2824291245328 has 80 divisors (see below), whose sum is σ = 6527170734336. Its totient is φ = 1157521559040.

The previous prime is 2824291245317. The next prime is 2824291245401. The reversal of 2824291245328 is 8235421924282.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11451958 + ... + 11695978.

Almost surely, 2^{2824291245328} is an apocalyptic number.

2824291245328 is a gapful number since it is divisible by the number (28) 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 2824291245328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3263585367168).

2824291245328 is an abundant number, since it is smaller than the sum of its proper divisors (3702879489008).

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

2824291245328 is a wasteful number, since it uses less digits than its factorization.

2824291245328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248552 (or 248546 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 52.

The spelling of 2824291245328 in words is "two trillion, eight hundred twenty-four billion, two hundred ninety-one million, two hundred forty-five thousand, three hundred twenty-eight".