2560361472 has 264 divisors, whose sum is σ = 7909214976. Its totient is φ = 795869184.

The previous prime is 2560361429. The next prime is 2560361491. The reversal of 2560361472 is 2741630652.

2560361472 is a `hidden beast` number, since 2 + 5 + 603 + 6 + 1 + 47 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9962368 + ... + 9962624.

Almost surely, 2^2560361472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2560361472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3954607488).

2560361472 is an abundant number, since it is smaller than the sum of its proper divisors (5348853504).

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

2560361472 is a wasteful number, since it uses less digits than its factorization.

2560361472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2560361472 is about 50600.0145454525. The cubic root of 2560361472 is about 1368.0451406055.

The spelling of 2560361472 in words is "two billion, five hundred sixty million, three hundred sixty-one thousand, four hundred seventy-two".