2576890080 has 144 divisors (see below), whose sum is σ = 8810015760. Its totient is φ = 685891584.

The previous prime is 2576890027. The next prime is 2576890093. The reversal of 2576890080 is 800986752.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 967791 + ... + 970449.

It is an arithmetic number, because the mean of its divisors is an integer number (61180665).

Almost surely, 2^2576890080 is an apocalyptic number.

2576890080 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 2576890080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4405007880).

2576890080 is an abundant number, since it is smaller than the sum of its proper divisors (6233125680).

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

2576890080 is a wasteful number, since it uses less digits than its factorization.

2576890080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353 (or 3342 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 2576890080 is about 50763.0779208669. The cubic root of 2576890080 is about 1370.9826682798.

The spelling of 2576890080 in words is "two billion, five hundred seventy-six million, eight hundred ninety thousand, eighty".