2741171680 has 96 divisors (see below), whose sum is σ = 6986667744. Its totient is φ = 1010313216.

The previous prime is 2741171639. The next prime is 2741171687. The reversal of 2741171680 is 861711472.

2741171680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2741171687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1885834 + ... + 1887286.

It is an arithmetic number, because the mean of its divisors is an integer number (72777789).

Almost surely, 2^2741171680 is an apocalyptic number.

2741171680 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 2741171680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493333872).

2741171680 is an abundant number, since it is smaller than the sum of its proper divisors (4245496064).

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

2741171680 is a wasteful number, since it uses less digits than its factorization.

2741171680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 37.

The square root of 2741171680 is about 52356.2000148979. The cubic root of 2741171680 is about 1399.5188278400.

The spelling of 2741171680 in words is "two billion, seven hundred forty-one million, one hundred seventy-one thousand, six hundred eighty".