2741349906 has 80 divisors (see below), whose sum is σ = 6640983360. Its totient is φ = 842257440.

The previous prime is 2741349881. The next prime is 2741349917. The reversal of 2741349906 is 6099431472.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 101851 + ... + 125921.

It is an arithmetic number, because the mean of its divisors is an integer number (83012292).

Almost surely, 2^2741349906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2741349906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3320491680).

2741349906 is an abundant number, since it is smaller than the sum of its proper divisors (3899633454).

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

2741349906 is a wasteful number, since it uses less digits than its factorization.

2741349906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24141 (or 24132 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2741349906 is about 52357.9020397113. The cubic root of 2741349906 is about 1399.5491585728.

The spelling of 2741349906 in words is "two billion, seven hundred forty-one million, three hundred forty-nine thousand, nine hundred six".