2580434080 has 288 divisors, whose sum is σ = 7911691200. Its totient is φ = 788078592.

The previous prime is 2580434071. The next prime is 2580434081. The reversal of 2580434080 is 804340852.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (2580434081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2531811 + ... + 2532829.

It is an arithmetic number, because the mean of its divisors is an integer number (27471150).

Almost surely, 2^2580434080 is an apocalyptic number.

2580434080 is a gapful number since it is divisible by the number (20) 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 2580434080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955845600).

2580434080 is an abundant number, since it is smaller than the sum of its proper divisors (5331257120).

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

2580434080 is a wasteful number, since it uses less digits than its factorization.

2580434080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 2580434080 is about 50797.9731879137. The cubic root of 2580434080 is about 1371.6108850716.

The spelling of 2580434080 in words is "two billion, five hundred eighty million, four hundred thirty-four thousand, eighty".