2581696 has 56 divisors (see below), whose sum is σ = 5760720. Its totient is φ = 1139712.

The previous prime is 2581687. The next prime is 2581697. The reversal of 2581696 is 6961852.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (2581697) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24075 + ... + 24181.

It is an arithmetic number, because the mean of its divisors is an integer number (102870).

2^2581696 is an apocalyptic number.

2581696 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2581696 is the 928-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2581696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880360).

2581696 is an abundant number, since it is smaller than the sum of its proper divisors (3179024).

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

2581696 is a wasteful number, since it uses less digits than its factorization.

2581696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 151 counting only the distinct ones).

The product of its digits is 25920, while the sum is 37.

The square root of 2581696 is about 1606.7656954267. The cubic root of 2581696 is about 137.1834436753.

The spelling of 2581696 in words is "two million, five hundred eighty-one thousand, six hundred ninety-six".