2741990960 has 80 divisors (see below), whose sum is σ = 6515106816. Its totient is φ = 1072963584.

The previous prime is 2741990941. The next prime is 2741990969. The reversal of 2741990960 is 690991472.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2741990969) 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, 739832 + ... + 743528.

Almost surely, 2^2741990960 is an apocalyptic number.

2741990960 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 2741990960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257553408).

2741990960 is an abundant number, since it is smaller than the sum of its proper divisors (3773115856).

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

2741990960 is a wasteful number, since it uses less digits than its factorization.

2741990960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3910 (or 3904 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 47.

The square root of 2741990960 is about 52364.0235276091. The cubic root of 2741990960 is about 1399.6582431104.

The spelling of 2741990960 in words is "two billion, seven hundred forty-one million, nine hundred ninety thousand, nine hundred sixty".