2611446642 has 96 divisors (see below), whose sum is σ = 6744576384. Its totient is φ = 741830400.

The previous prime is 2611446637. The next prime is 2611446683. The reversal of 2611446642 is 2466441162.

2611446642 is a `hidden beast` number, since 2 + 6 + 1 + 1 + 4 + 4 + 6 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2611446597 and 2611446606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 613642 + ... + 617882.

It is an arithmetic number, because the mean of its divisors is an integer number (70256004).

Almost surely, 2^2611446642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2611446642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372288192).

2611446642 is an abundant number, since it is smaller than the sum of its proper divisors (4133129742).

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

2611446642 is a wasteful number, since it uses less digits than its factorization.

2611446642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4446 (or 4434 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 2611446642 is about 51102.3154269941. The cubic root of 2611446642 is about 1377.0838515301.

The spelling of 2611446642 in words is "two billion, six hundred eleven million, four hundred forty-six thousand, six hundred forty-two".