2589400000 has 252 divisors, whose sum is σ = 7125434568. Its totient is φ = 932800000.

The previous prime is 2589399997. The next prime is 2589400013. The reversal of 2589400000 is 49852.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24199947 + ... + 24200053.

It is an arithmetic number, because the mean of its divisors is an integer number (28275534).

Almost surely, 2^2589400000 is an apocalyptic number.

2589400000 is a gapful number since it is divisible by the number (20) 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 2589400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562717284).

2589400000 is an abundant number, since it is smaller than the sum of its proper divisors (4536034568).

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

2589400000 is an equidigital number, since it uses as much as digits as its factorization.

2589400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 2589400000 is about 50886.1474273697. The cubic root of 2589400000 is about 1373.1976384817.

Adding to 2589400000 its reverse (49852), we get a palindrome (2589449852).

The spelling of 2589400000 in words is "two billion, five hundred eighty-nine million, four hundred thousand".