2671799580 has 336 divisors, whose sum is σ = 8924126400. Its totient is φ = 670602240.

The previous prime is 2671799549. The next prime is 2671799591. The reversal of 2671799580 is 859971762.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 30020176 + ... + 30020264.

It is an arithmetic number, because the mean of its divisors is an integer number (26559900).

Almost surely, 2^2671799580 is an apocalyptic number.

2671799580 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 2671799580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4462063200).

2671799580 is an abundant number, since it is smaller than the sum of its proper divisors (6252326820).

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

2671799580 is a wasteful number, since it uses less digits than its factorization.

2671799580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The square root of 2671799580 is about 51689.4532762729. The cubic root of 2671799580 is about 1387.6117192731.

The spelling of 2671799580 in words is "two billion, six hundred seventy-one million, seven hundred ninety-nine thousand, five hundred eighty".