2559438000 has 800 divisors, whose sum is σ = 11029020288. Its totient is φ = 559872000.

The previous prime is 2559437983. The next prime is 2559438017. The reversal of 2559438000 is 8349552.

It is an interprime number because it is at equal distance from previous prime (2559437983) and next prime (2559438017).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 41957970 + ... + 41958030.

Almost surely, 2^2559438000 is an apocalyptic number.

2559438000 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 2559438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5514510144).

2559438000 is an abundant number, since it is smaller than the sum of its proper divisors (8469582288).

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

2559438000 is a wasteful number, since it uses less digits than its factorization.

2559438000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2559438000 is about 50590.8885077145. Note that the first 3 decimals coincide. The cubic root of 2559438000 is about 1367.8806451732.

The spelling of 2559438000 in words is "two billion, five hundred fifty-nine million, four hundred thirty-eight thousand".