2713138848 has 384 divisors, whose sum is σ = 9676800000. Its totient is φ = 722856960.

The previous prime is 2713138843. The next prime is 2713138853. The reversal of 2713138848 is 8488313172.

It is an interprime number because it is at equal distance from previous prime (2713138843) and next prime (2713138853).

It is a super-2 number, since 2×2713138848² = 14722244817053534208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2713138843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5436903 + ... + 5437401.

It is an arithmetic number, because the mean of its divisors is an integer number (25200000).

Almost surely, 2^2713138848 is an apocalyptic number.

2713138848 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 2713138848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838400000).

2713138848 is an abundant number, since it is smaller than the sum of its proper divisors (6963661152).

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

2713138848 is a wasteful number, since it uses less digits than its factorization.

2713138848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 571 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 2713138848 is about 52087.7994159861. The cubic root of 2713138848 is about 1394.7317046754.

The spelling of 2713138848 in words is "two billion, seven hundred thirteen million, one hundred thirty-eight thousand, eight hundred forty-eight".