2723993064 has 448 divisors, whose sum is σ = 9107750400. Its totient is φ = 755827200.

The previous prime is 2723993047. The next prime is 2723993087. The reversal of 2723993064 is 4603993272.

2723993064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 44655594 + ... + 44655654.

It is an arithmetic number, because the mean of its divisors is an integer number (20329800).

Almost surely, 2^2723993064 is an apocalyptic number.

2723993064 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 2723993064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553875200).

2723993064 is an abundant number, since it is smaller than the sum of its proper divisors (6383757336).

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

2723993064 is a wasteful number, since it uses less digits than its factorization.

2723993064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 2723993064 is about 52191.8869557329. The cubic root of 2723993064 is about 1396.5891567182.

The spelling of 2723993064 in words is "two billion, seven hundred twenty-three million, nine hundred ninety-three thousand, sixty-four".