2719721088 has 192 divisors, whose sum is σ = 9128184000. Its totient is φ = 776950272.

The previous prime is 2719721057. The next prime is 2719721099. The reversal of 2719721088 is 8801279172.

2719721088 is a `hidden beast` number, since 271 + 97 + 210 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391695 + ... + 398577.

It is an arithmetic number, because the mean of its divisors is an integer number (47542625).

Almost surely, 2^2719721088 is an apocalyptic number.

2719721088 is a gapful number since it is divisible by the number (28) 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 2719721088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4564092000).

2719721088 is an abundant number, since it is smaller than the sum of its proper divisors (6408462912).

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

2719721088 is an equidigital number, since it uses as much as digits as its factorization.

2719721088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6924 (or 6895 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The square root of 2719721088 is about 52150.9452263331. The cubic root of 2719721088 is about 1395.8586951224.

The spelling of 2719721088 in words is "two billion, seven hundred nineteen million, seven hundred twenty-one thousand, eighty-eight".