2501233282288 has 80 divisors (see below), whose sum is σ = 5268844959840. Its totient is φ = 1143376662528.

The previous prime is 2501233282279. The next prime is 2501233282307. The reversal of 2501233282288 is 8822823321052.

It is a congruent number.

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, 135507556 + ... + 135526012.

It is an arithmetic number, because the mean of its divisors is an integer number (65860561998).

Almost surely, 2^{2501233282288} 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 2501233282288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634422479920).

2501233282288 is an abundant number, since it is smaller than the sum of its proper divisors (2767611677552).

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

2501233282288 is a wasteful number, since it uses less digits than its factorization.

2501233282288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24674 (or 24668 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

The spelling of 2501233282288 in words is "two trillion, five hundred one billion, two hundred thirty-three million, two hundred eighty-two thousand, two hundred eighty-eight".