2560194000 has 640 divisors, whose sum is σ = 11309276160. Its totient is φ = 539136000.

The previous prime is 2560193989. The next prime is 2560194053. The reversal of 2560194000 is 4910652.

2560194000 is a `hidden beast` number, since 256 + 0 + 1 + 9 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4913740 + ... + 4914260.

It is an arithmetic number, because the mean of its divisors is an integer number (17670744).

Almost surely, 2^2560194000 is an apocalyptic number.

2560194000 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 2560194000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5654638080).

2560194000 is an abundant number, since it is smaller than the sum of its proper divisors (8749082160).

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

2560194000 is a wasteful number, since it uses less digits than its factorization.

2560194000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2560194000 is about 50598.3596572063. The cubic root of 2560194000 is about 1368.0153122324.

The spelling of 2560194000 in words is "two billion, five hundred sixty million, one hundred ninety-four thousand".