2589338016 has 120 divisors (see below), whose sum is σ = 7648369344. Its totient is φ = 862902720.

The previous prime is 2589337991. The next prime is 2589338021. The reversal of 2589338016 is 6108339852.

It is a happy number.

2589338016 is a `hidden beast` number, since 258 + 9 + 3 + 380 + 16 = 666.

It is a super-2 number, since 2×2589338016² = 13409342722205632512, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 627801 + ... + 631911.

Almost surely, 2^2589338016 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 2589338016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824184672).

2589338016 is an abundant number, since it is smaller than the sum of its proper divisors (5059031328).

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

2589338016 is an frugal number, since it uses more digits than its factorization.

2589338016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148 (or 4116 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2589338016 is about 50885.5383778142. The cubic root of 2589338016 is about 1373.1866813795.

The spelling of 2589338016 in words is "two billion, five hundred eighty-nine million, three hundred thirty-eight thousand, sixteen".