2581343232 has 176 divisors, whose sum is σ = 7490054880. Its totient is φ = 785645568.

The previous prime is 2581343227. The next prime is 2581343263. The reversal of 2581343232 is 2323431852.

Its product of digits (34560) is a multiple of the sum of its prime divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 2581343193 and 2581343202.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4352728 + ... + 4353320.

It is an arithmetic number, because the mean of its divisors is an integer number (42557130).

Almost surely, 2^2581343232 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 2581343232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745027440).

2581343232 is an abundant number, since it is smaller than the sum of its proper divisors (4908711648).

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

2581343232 is a wasteful number, since it uses less digits than its factorization.

2581343232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 720 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 2581343232 is about 50806.9211033300. The cubic root of 2581343232 is about 1371.7719505253.

The spelling of 2581343232 in words is "two billion, five hundred eighty-one million, three hundred forty-three thousand, two hundred thirty-two".