2589979392 has 432 divisors, whose sum is σ = 10035287808. Its totient is φ = 620421120.

The previous prime is 2589979387. The next prime is 2589979421. The reversal of 2589979392 is 2939799852.

2589979392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2305743 + ... + 2306865.

Almost surely, 2^2589979392 is an apocalyptic number.

2589979392 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2589979392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5017643904).

2589979392 is an abundant number, since it is smaller than the sum of its proper divisors (7445308416).

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

2589979392 is a wasteful number, since it uses less digits than its factorization.

2589979392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1159 counting only the distinct ones).

The product of its digits is 22044960, while the sum is 63.

The square root of 2589979392 is about 50891.8401317932. The cubic root of 2589979392 is about 1373.3000509315.

The spelling of 2589979392 in words is "two billion, five hundred eighty-nine million, nine hundred seventy-nine thousand, three hundred ninety-two".