2593142832 has 80 divisors (see below), whose sum is σ = 7730378240. Its totient is φ = 733694976.

The previous prime is 2593142831. The next prime is 2593142833. The reversal of 2593142832 is 2382413952.

It is an interprime number because it is at equal distance from previous prime (2593142831) and next prime (2593142833).

It is not an unprimeable number, because it can be changed into a prime (2593142831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2857 + ... + 72072.

It is an arithmetic number, because the mean of its divisors is an integer number (96629728).

Almost surely, 2^2593142832 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 2593142832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3865189120).

2593142832 is an abundant number, since it is smaller than the sum of its proper divisors (5137235408).

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

2593142832 is a wasteful number, since it uses less digits than its factorization.

2593142832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75050 (or 75044 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 2593142832 is about 50922.9106787898. The cubic root of 2593142832 is about 1373.8589465959.

The spelling of 2593142832 in words is "two billion, five hundred ninety-three million, one hundred forty-two thousand, eight hundred thirty-two".