2721116160 has 832 divisors, whose sum is σ = 11952307200. Its totient is φ = 573308928.

The previous prime is 2721116147. The next prime is 2721116173. The reversal of 2721116160 is 616111272.

It is a happy number.

2721116160 is a `hidden beast` number, since 27 + 21 + 1 + 1 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2721116147) and next prime (2721116173).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73543662 + ... + 73543698.

Almost surely, 2^2721116160 is an apocalyptic number.

2721116160 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 2721116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5976153600).

2721116160 is an abundant number, since it is smaller than the sum of its proper divisors (9231191040).

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

2721116160 is a wasteful number, since it uses less digits than its factorization.

2721116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 2721116160 is about 52164.3188396053. The cubic root of 2721116160 is about 1396.0973213706.

The spelling of 2721116160 in words is "two billion, seven hundred twenty-one million, one hundred sixteen thousand, one hundred sixty".