2578135560 has 512 divisors, whose sum is σ = 10528358400. Its totient is φ = 490613760.

The previous prime is 2578135559. The next prime is 2578135577. The reversal of 2578135560 is 655318752.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 20300217 + ... + 20300343.

It is an arithmetic number, because the mean of its divisors is an integer number (20563200).

Almost surely, 2^2578135560 is an apocalyptic number.

2578135560 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 2578135560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5264179200).

2578135560 is an abundant number, since it is smaller than the sum of its proper divisors (7950222840).

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

2578135560 is a wasteful number, since it uses less digits than its factorization.

2578135560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The square root of 2578135560 is about 50775.3440165598. The cubic root of 2578135560 is about 1371.2035102529.

The spelling of 2578135560 in words is "two billion, five hundred seventy-eight million, one hundred thirty-five thousand, five hundred sixty".