2721166812 has 480 divisors, whose sum is σ = 9528140160. Its totient is φ = 656916480.

The previous prime is 2721166793. The next prime is 2721166817. The reversal of 2721166812 is 2186611272.

2721166812 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (16128) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2721166817) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30574864 + ... + 30574952.

It is an arithmetic number, because the mean of its divisors is an integer number (19850292).

Almost surely, 2^2721166812 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 2721166812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4764070080).

2721166812 is an abundant number, since it is smaller than the sum of its proper divisors (6806973348).

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

2721166812 is a wasteful number, since it uses less digits than its factorization.

2721166812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 192 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 2721166812 is about 52164.8043416248. The cubic root of 2721166812 is about 1396.1059838310.

The spelling of 2721166812 in words is "two billion, seven hundred twenty-one million, one hundred sixty-six thousand, eight hundred twelve".