2578210560 has 324 divisors, whose sum is σ = 9293131848. Its totient is φ = 685283328.

The previous prime is 2578210543. The next prime is 2578210561. The reversal of 2578210560 is 650128752.

It is a happy number.

2578210560 is a `hidden beast` number, since 2 + 5 + 7 + 82 + 10 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2578210561) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8397927 + ... + 8398233.

Almost surely, 2^2578210560 is an apocalyptic number.

2578210560 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 2578210560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4646565924).

2578210560 is an abundant number, since it is smaller than the sum of its proper divisors (6714921288).

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

2578210560 is an frugal number, since it uses more digits than its factorization.

2578210560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 2578210560 is about 50776.0825586220. The cubic root of 2578210560 is about 1371.2168065884.

The spelling of 2578210560 in words is "two billion, five hundred seventy-eight million, two hundred ten thousand, five hundred sixty".