2741622912 has 288 divisors, whose sum is σ = 9720601020. Its totient is φ = 736985088.

The previous prime is 2741622911. The next prime is 2741622943. The reversal of 2741622912 is 2192261472.

2741622912 is a `hidden beast` number, since 2 + 7 + 416 + 229 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2591217216 + 150405696 = 50904^2 + 12264^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2741622911) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 958188 + ... + 961044.

Almost surely, 2^2741622912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2741622912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4860300510).

2741622912 is an abundant number, since it is smaller than the sum of its proper divisors (6978978108).

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

2741622912 is a wasteful number, since it uses less digits than its factorization.

2741622912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908 (or 2886 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2741622912 is about 52360.5090884342. The cubic root of 2741622912 is about 1399.5956165403.

The spelling of 2741622912 in words is "two billion, seven hundred forty-one million, six hundred twenty-two thousand, nine hundred twelve".