2741581440 has 768 divisors, whose sum is σ = 11227507200. Its totient is φ = 610467840.

The previous prime is 2741581333. The next prime is 2741581523. The reversal of 2741581440 is 441851472.

It is a happy number.

2741581440 is a `hidden beast` number, since 2 + 74 + 1 + 581 + 4 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2741581395 and 2741581404.

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 95 ways as a sum of consecutive naturals, for example, 58331497 + ... + 58331543.

It is an arithmetic number, because the mean of its divisors is an integer number (14619150).

Almost surely, 2^2741581440 is an apocalyptic number.

2741581440 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 2741581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5613753600).

2741581440 is an abundant number, since it is smaller than the sum of its proper divisors (8485925760).

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

2741581440 is a wasteful number, since it uses less digits than its factorization.

2741581440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2741581440 is about 52360.1130632851. The cubic root of 2741581440 is about 1399.5885593672.

The spelling of 2741581440 in words is "two billion, seven hundred forty-one million, five hundred eighty-one thousand, four hundred forty".