2563086240 has 576 divisors, whose sum is σ = 10679340672. Its totient is φ = 572313600.

The previous prime is 2563086223. The next prime is 2563086271. The reversal of 2563086240 is 426803652.

2563086240 is a `hidden beast` number, since 25 + 6 + 3 + 0 + 8 + 624 + 0 = 666.

It is a super-2 number, since 2×2563086240² = 13138822147354675200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2563086195 and 2563086204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5559610 + ... + 5560070.

It is an arithmetic number, because the mean of its divisors is an integer number (18540522).

Almost surely, 2^2563086240 is an apocalyptic number.

2563086240 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 2563086240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5339670336).

2563086240 is an abundant number, since it is smaller than the sum of its proper divisors (8116254432).

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

2563086240 is a wasteful number, since it uses less digits than its factorization.

2563086240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2563086240 is about 50626.9319631360. The cubic root of 2563086240 is about 1368.5302653457.

Adding to 2563086240 its reverse (426803652), we get a palindrome (2989889892).

The spelling of 2563086240 in words is "two billion, five hundred sixty-three million, eighty-six thousand, two hundred forty".