2589119742 has 64 divisors (see below), whose sum is σ = 5798677248. Its totient is φ = 763872000.

The previous prime is 2589119707. The next prime is 2589119773. The reversal of 2589119742 is 2479119852.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2589119691 and 2589119700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2372617 + ... + 2373707.

It is an arithmetic number, because the mean of its divisors is an integer number (90604332).

Almost surely, 2^2589119742 is an apocalyptic number.

2589119742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2589119742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899338624).

2589119742 is an abundant number, since it is smaller than the sum of its proper divisors (3209557506).

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

2589119742 is a wasteful number, since it uses less digits than its factorization.

2589119742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025.

The product of its digits is 362880, while the sum is 48.

The square root of 2589119742 is about 50883.3935778659. The cubic root of 2589119742 is about 1373.1480950213.

The spelling of 2589119742 in words is "two billion, five hundred eighty-nine million, one hundred nineteen thousand, seven hundred forty-two".