2741506560 has 560 divisors, whose sum is σ = 10707299064. Its totient is φ = 668860416.

The previous prime is 2741506519. The next prime is 2741506613. The reversal of 2741506560 is 656051472.

It is a happy number.

2741506560 is a `hidden beast` number, since 2 + 7 + 41 + 50 + 6 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 837755136 + 1903751424 = 28944^2 + 43632^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 24261064 + ... + 24261176.

Almost surely, 2^2741506560 is an apocalyptic number.

2741506560 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 2741506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5353649532).

2741506560 is an abundant number, since it is smaller than the sum of its proper divisors (7965792504).

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

2741506560 is an equidigital number, since it uses as much as digits as its factorization.

2741506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2741506560 is about 52359.3980102904. The cubic root of 2741506560 is about 1399.5758170690.

The spelling of 2741506560 in words is "two billion, seven hundred forty-one million, five hundred six thousand, five hundred sixty".