2671608576 has 432 divisors, whose sum is σ = 9186422784. Its totient is φ = 682795008.

The previous prime is 2671608571. The next prime is 2671608587. The reversal of 2671608576 is 6758061762.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2671608571) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21036225 + ... + 21036351.

Almost surely, 2^2671608576 is an apocalyptic number.

2671608576 is a gapful number since it is divisible by the number (26) 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 2671608576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4593211392).

2671608576 is an abundant number, since it is smaller than the sum of its proper divisors (6514814208).

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

2671608576 is a wasteful number, since it uses less digits than its factorization.

2671608576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 2671608576 is about 51687.6056322983. The cubic root of 2671608576 is about 1387.5786522089.

The spelling of 2671608576 in words is "two billion, six hundred seventy-one million, six hundred eight thousand, five hundred seventy-six".