2738447712 has 864 divisors, whose sum is σ = 11293551360. Its totient is φ = 617379840.

The previous prime is 2738447659. The next prime is 2738447729. The reversal of 2738447712 is 2177448372.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46414339 + ... + 46414397.

It is an arithmetic number, because the mean of its divisors is an integer number (13071240).

Almost surely, 2^2738447712 is an apocalyptic number.

2738447712 is a gapful number since it is divisible by the number (22) 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 2738447712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5646775680).

2738447712 is an abundant number, since it is smaller than the sum of its proper divisors (8555103648).

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

2738447712 is a wasteful number, since it uses less digits than its factorization.

2738447712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 118 counting only the distinct ones).

The product of its digits is 526848, while the sum is 45.

The square root of 2738447712 is about 52330.1797436240. The cubic root of 2738447712 is about 1399.0550957310.

The spelling of 2738447712 in words is "two billion, seven hundred thirty-eight million, four hundred forty-seven thousand, seven hundred twelve".