581012490240 has 1152 divisors, whose sum is σ = 2588105520000. Its totient is φ = 122550091776.

The previous prime is 581012490229. The next prime is 581012490259. The reversal of 581012490240 is 42094210185.

581012490240 is a `hidden beast` number, since 581 + 0 + 12 + 49 + 0 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 581012490195 and 581012490204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 176116111 + ... + 176119409.

It is an arithmetic number, because the mean of its divisors is an integer number (2246619375).

Almost surely, 2^581012490240 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 581012490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294052760000).

581012490240 is an abundant number, since it is smaller than the sum of its proper divisors (2007093029760).

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

581012490240 is a wasteful number, since it uses less digits than its factorization.

581012490240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3362 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 581012490240 in words is "five hundred eighty-one billion, twelve million, four hundred ninety thousand, two hundred forty".