2563479360 has 448 divisors, whose sum is σ = 10087660800. Its totient is φ = 608477184.

The previous prime is 2563479343. The next prime is 2563479383. The reversal of 2563479360 is 639743652.

2563479360 is a `hidden beast` number, since 2 + 5 + 634 + 7 + 9 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3256887 + ... + 3257673.

It is an arithmetic number, because the mean of its divisors is an integer number (22517100).

Almost surely, 2^2563479360 is an apocalyptic number.

2563479360 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 2563479360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5043830400).

2563479360 is an abundant number, since it is smaller than the sum of its proper divisors (7524181440).

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

2563479360 is a wasteful number, since it uses less digits than its factorization.

2563479360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 2563479360 is about 50630.8143327756. The cubic root of 2563479360 is about 1368.6002290618.

The spelling of 2563479360 in words is "two billion, five hundred sixty-three million, four hundred seventy-nine thousand, three hundred sixty".