2581613424 has 160 divisors (see below), whose sum is σ = 8059484160. Its totient is φ = 786454272.

The previous prime is 2581613413. The next prime is 2581613431. The reversal of 2581613424 is 4243161852.

It is a happy number.

2581613424 is a `hidden beast` number, since 258 + 1 + 61 + 342 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 576217 + ... + 580679.

It is an arithmetic number, because the mean of its divisors is an integer number (50371776).

Almost surely, 2^2581613424 is an apocalyptic number.

2581613424 is a gapful number since it is divisible by the number (24) 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 2581613424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4029742080).

2581613424 is an abundant number, since it is smaller than the sum of its proper divisors (5477870736).

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

2581613424 is a wasteful number, since it uses less digits than its factorization.

2581613424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4596 (or 4584 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 2581613424 is about 50809.5800415630. The cubic root of 2581613424 is about 1371.8198104755.

The spelling of 2581613424 in words is "two billion, five hundred eighty-one million, six hundred thirteen thousand, four hundred twenty-four".