2719440864 has 240 divisors, whose sum is σ = 9273470976. Its totient is φ = 765676800.

The previous prime is 2719440851. The next prime is 2719440883. The reversal of 2719440864 is 4680449172.

2719440864 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2719440864³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1287169 + ... + 1289279.

Almost surely, 2^2719440864 is an apocalyptic number.

2719440864 is a gapful number since it is divisible by the number (24) 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 2719440864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4636735488).

2719440864 is an abundant number, since it is smaller than the sum of its proper divisors (6554030112).

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

2719440864 is a wasteful number, since it uses less digits than its factorization.

2719440864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2211 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2719440864 is about 52148.2584944119. The cubic root of 2719440864 is about 1395.8107531301.

The spelling of 2719440864 in words is "two billion, seven hundred nineteen million, four hundred forty thousand, eight hundred sixty-four".