2671584768 has 240 divisors, whose sum is σ = 8110262160. Its totient is φ = 877879296.

The previous prime is 2671584701. The next prime is 2671584793. The reversal of 2671584768 is 8674851762.

It is a super-2 number, since 2×2671584768² = 14274730345219227648, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 13561246 + ... + 13561442.

It is an arithmetic number, because the mean of its divisors is an integer number (33792759).

Almost surely, 2^2671584768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2671584768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055131080).

2671584768 is an abundant number, since it is smaller than the sum of its proper divisors (5438677392).

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

2671584768 is an equidigital number, since it uses as much as digits as its factorization.

2671584768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 311 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 2671584768 is about 51687.3753251217. The cubic root of 2671584768 is about 1387.5745304012.

The spelling of 2671584768 in words is "two billion, six hundred seventy-one million, five hundred eighty-four thousand, seven hundred sixty-eight".