2581263360 has 528 divisors, whose sum is σ = 10014251520. Its totient is φ = 610467840.

The previous prime is 2581263337. The next prime is 2581263367. The reversal of 2581263360 is 633621852.

It is a happy number.

2581263360 is a `hidden beast` number, since 2 + 5 + 8 + 12 + 633 + 6 + 0 = 666.

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 (2581263367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18570171 + ... + 18570309.

Almost surely, 2^2581263360 is an apocalyptic number.

2581263360 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 2581263360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5007125760).

2581263360 is an abundant number, since it is smaller than the sum of its proper divisors (7432988160).

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

2581263360 is a wasteful number, since it uses less digits than its factorization.

2581263360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2581263360 is about 50806.1350626083. The cubic root of 2581263360 is about 1371.7578019097.

The spelling of 2581263360 in words is "two billion, five hundred eighty-one million, two hundred sixty-three thousand, three hundred sixty".