2721596806656 has 1600 divisors, whose sum is σ = 10579885510656. Its totient is φ = 677221171200.

The previous prime is 2721596806639. The next prime is 2721596806703. The reversal of 2721596806656 is 6566086951272.

It is a happy number.

2721596806656 is digitally balanced in base 2, because in such base 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 (63).

It is a junction number, because it is equal to n+sod(n) for n = 2721596806593 and 2721596806602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5030677746 + ... + 5030678286.

Almost surely, 2^{2721596806656} is an apocalyptic number.

2721596806656 is a gapful number since it is divisible by the number (26) 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 2721596806656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5289942755328).

2721596806656 is an abundant number, since it is smaller than the sum of its proper divisors (7858288704000).

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

2721596806656 is a wasteful number, since it uses less digits than its factorization.

2721596806656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 2721596806656 in words is "two trillion, seven hundred twenty-one billion, five hundred ninety-six million, eight hundred six thousand, six hundred fifty-six".