2442646080 has 504 divisors, whose sum is σ = 10299070080. Its totient is φ = 528353280.

The previous prime is 2442646067. The next prime is 2442646121. The reversal of 2442646080 is 806462442.

It is a happy number.

2442646080 is a `hidden beast` number, since 2 + 4 + 4 + 2 + 646 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

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 71 ways as a sum of consecutive naturals, for example, 2680825 + ... + 2681735.

Almost surely, 2^2442646080 is an apocalyptic number.

2442646080 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 2442646080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5149535040).

2442646080 is an abundant number, since it is smaller than the sum of its proper divisors (7856424000).

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

2442646080 is a wasteful number, since it uses less digits than its factorization.

2442646080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2442646080 is about 49423.1330451642. The cubic root of 2442646080 is about 1346.7495793585.

The spelling of 2442646080 in words is "two billion, four hundred forty-two million, six hundred forty-six thousand, eighty".