2580928 has 42 divisors (see below), whose sum is σ = 5964936. Its totient is φ = 1104768.

The previous prime is 2580917. The next prime is 2580931. The reversal of 2580928 is 8290852.

It is a super-2 number, since 2×2580928² = 13322378682368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2580893 and 2580902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2725 + ... + 3547.

2^2580928 is an apocalyptic number.

2580928 is a gapful number since it is divisible by the number (28) 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 2580928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2982468).

2580928 is an abundant number, since it is smaller than the sum of its proper divisors (3384008).

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

2580928 is an equidigital number, since it uses as much as digits as its factorization.

2580928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 2580928 is about 1606.5266882315. The cubic root of 2580928 is about 137.1698392678.

The spelling of 2580928 in words is "two million, five hundred eighty thousand, nine hundred twenty-eight".