2741575680 has 448 divisors, whose sum is σ = 10160081280. Its totient is φ = 700710912.

The previous prime is 2741575673. The next prime is 2741575691. The reversal of 2741575680 is 865751472.

2741575680 is a `hidden beast` number, since 2 + 74 + 1 + 575 + 6 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40919007 + ... + 40919073.

Almost surely, 2^2741575680 is an apocalyptic number.

2741575680 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 2741575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080040640).

2741575680 is an abundant number, since it is smaller than the sum of its proper divisors (7418505600).

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

2741575680 is an equidigital number, since it uses as much as digits as its factorization.

2741575680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 2741575680 is about 52360.0580595553. The cubic root of 2741575680 is about 1399.5875791987.

The spelling of 2741575680 in words is "two billion, seven hundred forty-one million, five hundred seventy-five thousand, six hundred eighty".