2672713344 has 256 divisors, whose sum is σ = 8967905280. Its totient is φ = 687194112.

The previous prime is 2672713301. The next prime is 2672713357. The reversal of 2672713344 is 4433172762.

It is a happy number.

2672713344 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 hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1049737 + ... + 1052279.

It is an arithmetic number, because the mean of its divisors is an integer number (35030880).

Almost surely, 2^2672713344 is an apocalyptic number.

2672713344 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 2672713344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4483952640).

2672713344 is an abundant number, since it is smaller than the sum of its proper divisors (6295191936).

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

2672713344 is a wasteful number, since it uses less digits than its factorization.

2672713344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2607 (or 2595 counting only the distinct ones).

The product of its digits is 169344, while the sum is 39.

The square root of 2672713344 is about 51698.2914998165. The cubic root of 2672713344 is about 1387.7698904579.

The spelling of 2672713344 in words is "two billion, six hundred seventy-two million, seven hundred thirteen thousand, three hundred forty-four".