2741225760 has 768 divisors, whose sum is σ = 12463718400. Its totient is φ = 546435072.

The previous prime is 2741225731. The next prime is 2741225801. The reversal of 2741225760 is 675221472.

It is a happy number.

2741225760 is a `hidden beast` number, since 2 + 74 + 12 + 2 + 576 + 0 = 666.

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

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 7469097 + ... + 7469463.

It is an arithmetic number, because the mean of its divisors is an integer number (16228800).

Almost surely, 2^2741225760 is an apocalyptic number.

2741225760 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 2741225760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6231859200).

2741225760 is an abundant number, since it is smaller than the sum of its proper divisors (9722492640).

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

2741225760 is a wasteful number, since it uses less digits than its factorization.

2741225760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2741225760 is about 52356.7164745842. The cubic root of 2741225760 is about 1399.5280313838.

The spelling of 2741225760 in words is "two billion, seven hundred forty-one million, two hundred twenty-five thousand, seven hundred sixty".