2738347840 has 112 divisors (see below), whose sum is σ = 6706282752. Its totient is φ = 1064503296.

The previous prime is 2738347819. The next prime is 2738347841. The reversal of 2738347840 is 487438372.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2738347841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2450962 + ... + 2452078.

Almost surely, 2^2738347840 is an apocalyptic number.

2738347840 is a gapful number since it is divisible by the number (20) 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 2738347840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3353141376).

2738347840 is an abundant number, since it is smaller than the sum of its proper divisors (3967934912).

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

2738347840 is a wasteful number, since it uses less digits than its factorization.

2738347840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 46.

The square root of 2738347840 is about 52329.2254863379. The cubic root of 2738347840 is about 1399.0380875396.

The spelling of 2738347840 in words is "two billion, seven hundred thirty-eight million, three hundred forty-seven thousand, eight hundred forty".