2721642336 has 384 divisors, whose sum is σ = 9736796160. Its totient is φ = 721944576.

The previous prime is 2721642331. The next prime is 2721642347. The reversal of 2721642336 is 6332461272.

2721642336 is a `hidden beast` number, since 2 + 7 + 2 + 1 + 642 + 3 + 3 + 6 = 666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 2721642336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2721642331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10589920 + ... + 10590176.

It is an arithmetic number, because the mean of its divisors is an integer number (25356240).

Almost surely, 2^2721642336 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 2721642336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4868398080).

2721642336 is an abundant number, since it is smaller than the sum of its proper divisors (7015153824).

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

2721642336 is a wasteful number, since it uses less digits than its factorization.

2721642336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 389 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 2721642336 is about 52169.3620432529. The cubic root of 2721642336 is about 1396.1873022850.

The spelling of 2721642336 in words is "two billion, seven hundred twenty-one million, six hundred forty-two thousand, three hundred thirty-six".