2741967360 has 480 divisors, whose sum is σ = 10724313600. Its totient is φ = 641433600.

The previous prime is 2741967331. The next prime is 2741967367. The reversal of 2741967360 is 637691472.

2741967360 is a `hidden beast` number, since 274 + 19 + 6 + 7 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2741967367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7856466 + ... + 7856814.

It is an arithmetic number, because the mean of its divisors is an integer number (22342320).

Almost surely, 2^2741967360 is an apocalyptic number.

2741967360 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 2741967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362156800).

2741967360 is an abundant number, since it is smaller than the sum of its proper divisors (7982346240).

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

2741967360 is a wasteful number, since it uses less digits than its factorization.

2741967360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 2741967360 is about 52363.7981815682. The cubic root of 2741967360 is about 1399.6542275332.

The spelling of 2741967360 in words is "two billion, seven hundred forty-one million, nine hundred sixty-seven thousand, three hundred sixty".