2582780080 has 80 divisors (see below), whose sum is σ = 6421490784. Its totient is φ = 962662400.

The previous prime is 2582780051. The next prime is 2582780111. The reversal of 2582780080 is 800872852.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127959 + ... + 146761.

Almost surely, 2^2582780080 is an apocalyptic number.

2582780080 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 2582780080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210745392).

2582780080 is an abundant number, since it is smaller than the sum of its proper divisors (3838710704).

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

2582780080 is a wasteful number, since it uses less digits than its factorization.

2582780080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18934 (or 18928 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The square root of 2582780080 is about 50821.0594143806. The cubic root of 2582780080 is about 1372.0264255550.

The spelling of 2582780080 in words is "two billion, five hundred eighty-two million, seven hundred eighty thousand, eighty".