2721727764 has 192 divisors, whose sum is σ = 8317048320. Its totient is φ = 753546240.

The previous prime is 2721727741. The next prime is 2721727777. The reversal of 2721727764 is 4677271272.

It is a nude number because it is divisible by every one of its digits.

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, 8585734 + ... + 8586050.

It is an arithmetic number, because the mean of its divisors is an integer number (43317960).

Almost surely, 2^2721727764 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 2721727764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4158524160).

2721727764 is an abundant number, since it is smaller than the sum of its proper divisors (5595320556).

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

2721727764 is a wasteful number, since it uses less digits than its factorization.

2721727764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 647 counting only the distinct ones).

The product of its digits is 460992, while the sum is 45.

The square root of 2721727764 is about 52170.1807932463. The cubic root of 2721727764 is about 1396.2019101609.

It can be divided in two parts, 272172 and 7764, that added together give a 7-th power (279936 = 6⁷).

The spelling of 2721727764 in words is "two billion, seven hundred twenty-one million, seven hundred twenty-seven thousand, seven hundred sixty-four".