2589790391172 has 192 divisors, whose sum is σ = 6801814656000. Its totient is φ = 852097688064.

The previous prime is 2589790391147. The next prime is 2589790391183. The reversal of 2589790391172 is 2711930979852.

2589790391172 is a `hidden beast` number, since 2 + 5 + 8 + 9 + 79 + 0 + 391 + 172 = 666.

2589790391172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2589790391172³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3131547823 + ... + 3131548649.

It is an arithmetic number, because the mean of its divisors is an integer number (35426118000).

Almost surely, 2^{2589790391172} 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 2589790391172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3400907328000).

2589790391172 is an abundant number, since it is smaller than the sum of its proper divisors (4212024264828).

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

2589790391172 is a wasteful number, since it uses less digits than its factorization.

2589790391172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 63.

The spelling of 2589790391172 in words is "two trillion, five hundred eighty-nine billion, seven hundred ninety million, three hundred ninety-one thousand, one hundred seventy-two".