2649480080 has 120 divisors (see below), whose sum is σ = 7002411192. Its totient is φ = 926650368.

The previous prime is 2649480011. The next prime is 2649480133. The reversal of 2649480080 is 800849462.

It can be written as a sum of positive squares in 4 ways, for example, as 625200016 + 2024280064 = 25004^2 + 44992^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371912 + ... + 378968.

Almost surely, 2^2649480080 is an apocalyptic number.

2649480080 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 2649480080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3501205596).

2649480080 is an abundant number, since it is smaller than the sum of its proper divisors (4352931112).

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

2649480080 is a wasteful number, since it uses less digits than its factorization.

2649480080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7121 (or 7096 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 2649480080 is about 51473.1005477618. The cubic root of 2649480080 is about 1383.7369971471.

The spelling of 2649480080 in words is "two billion, six hundred forty-nine million, four hundred eighty thousand, eighty".