2671248800 has 72 divisors (see below), whose sum is σ = 7114044672. Its totient is φ = 971360000.

The previous prime is 2671248793. The next prime is 2671248821. The reversal of 2671248800 is 88421762.

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 11 ways as a sum of consecutive naturals, for example, 142976 + ... + 160575.

It is an arithmetic number, because the mean of its divisors is an integer number (98806176).

Almost surely, 2^2671248800 is an apocalyptic number.

2671248800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2671248800 is an abundant number, since it is smaller than the sum of its proper divisors (4442795872).

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

2671248800 is a wasteful number, since it uses less digits than its factorization.

2671248800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303582 (or 303569 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 2671248800 is about 51684.1252223543. The cubic root of 2671248800 is about 1387.5163626564.

The spelling of 2671248800 in words is "two billion, six hundred seventy-one million, two hundred forty-eight thousand, eight hundred".