2581147296 has 480 divisors, whose sum is σ = 9671574528. Its totient is φ = 656916480.

The previous prime is 2581147279. The next prime is 2581147307. The reversal of 2581147296 is 6927411852.

2581147296 is a `hidden beast` number, since 2 + 581 + 1 + 47 + 29 + 6 = 666.

It is a super-2 number, since 2×2581147296² = 13324642727296223232, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7311856 + ... + 7312208.

Almost surely, 2^2581147296 is an apocalyptic number.

2581147296 is a gapful number since it is divisible by the number (26) 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 2581147296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4835787264).

2581147296 is an abundant number, since it is smaller than the sum of its proper divisors (7090427232).

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

2581147296 is a wasteful number, since it uses less digits than its factorization.

2581147296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 409 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 2581147296 is about 50804.9928255088. The cubic root of 2581147296 is about 1371.7372416825.

The spelling of 2581147296 in words is "two billion, five hundred eighty-one million, one hundred forty-seven thousand, two hundred ninety-six".