2723657680 has 80 divisors (see below), whose sum is σ = 6409839744. Its totient is φ = 1076241920.

The previous prime is 2723657633. The next prime is 2723657701. The reversal of 2723657680 is 867563272.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2723657680² = 14836622315645964800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2723657680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3070197 + ... + 3071083.

Almost surely, 2^2723657680 is an apocalyptic number.

2723657680 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 2723657680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204919872).

2723657680 is an abundant number, since it is smaller than the sum of its proper divisors (3686182064).

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

2723657680 is a wasteful number, since it uses less digits than its factorization.

2723657680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The square root of 2723657680 is about 52188.6738670375. The cubic root of 2723657680 is about 1396.5318373258.

The spelling of 2723657680 in words is "two billion, seven hundred twenty-three million, six hundred fifty-seven thousand, six hundred eighty".