2580433408 has 80 divisors (see below), whose sum is σ = 5912121600. Its totient is φ = 1102196736.

The previous prime is 2580433403. The next prime is 2580433439. The reversal of 2580433408 is 8043340852.

It is not an unprimeable number, because it can be changed into a prime (2580433403) 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, 1249785 + ... + 1251847.

It is an arithmetic number, because the mean of its divisors is an integer number (73901520).

Almost surely, 2^2580433408 is an apocalyptic number.

2580433408 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 2580433408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956060800).

2580433408 is an abundant number, since it is smaller than the sum of its proper divisors (3331688192).

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

2580433408 is an equidigital number, since it uses as much as digits as its factorization.

2580433408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2437 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 2580433408 is about 50797.9665734761. The cubic root of 2580433408 is about 1371.6107660060.

The spelling of 2580433408 in words is "two billion, five hundred eighty million, four hundred thirty-three thousand, four hundred eight".