2741680800 has 216 divisors, whose sum is σ = 9722869884. Its totient is φ = 726958080.

The previous prime is 2741680787. The next prime is 2741680801. The reversal of 2741680800 is 80861472.

It can be written as a sum of positive squares in 6 ways, for example, as 334012176 + 2407668624 = 18276^2 + 49068^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2741680801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1388614 + ... + 1390586.

Almost surely, 2^2741680800 is an apocalyptic number.

2741680800 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 2741680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4861434942).

2741680800 is an abundant number, since it is smaller than the sum of its proper divisors (6981189084).

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

2741680800 is a wasteful number, since it uses less digits than its factorization.

2741680800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2741680800 is about 52361.0618685297. The cubic root of 2741680800 is about 1399.6054670587.

The spelling of 2741680800 in words is "two billion, seven hundred forty-one million, six hundred eighty thousand, eight hundred".