2980528902528 has 128 divisors (see below), whose sum is σ = 7995331722240. Its totient is φ = 983693568000.

The previous prime is 2980528902521. The next prime is 2980528902529. The reversal of 2980528902528 is 8252098250892.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2980528902521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80144098 + ... + 80181278.

It is an arithmetic number, because the mean of its divisors is an integer number (62463529080).

Almost surely, 2^{2980528902528} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2980528902528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3997665861120).

2980528902528 is an abundant number, since it is smaller than the sum of its proper divisors (5014802819712).

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

2980528902528 is a wasteful number, since it uses less digits than its factorization.

2980528902528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39256 (or 39244 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 60.

The spelling of 2980528902528 in words is "two trillion, nine hundred eighty billion, five hundred twenty-eight million, nine hundred two thousand, five hundred twenty-eight".