2444022420642 has 72 divisors (see below), whose sum is σ = 5915962825500. Its totient is φ = 728471620800.

The previous prime is 2444022420607. The next prime is 2444022420643. The reversal of 2444022420642 is 2460242204442.

2444022420642 is a `hidden beast` number, since 2 + 4 + 4 + 4 + 0 + 2 + 2 + 4 + 2 + 0 + 642 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2189864272761 + 254158147881 = 1479819^2 + 504141^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2444022420597 and 2444022420606.

It is not an unprimeable number, because it can be changed into a prime (2444022420643) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 9065017 + ... + 9330732.

Almost surely, 2^{2444022420642} is an apocalyptic number.

2444022420642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2444022420642 is an abundant number, since it is smaller than the sum of its proper divisors (3471940404858).

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

2444022420642 is a wasteful number, since it uses less digits than its factorization.

2444022420642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18395840 (or 18395826 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

The spelling of 2444022420642 in words is "two trillion, four hundred forty-four billion, twenty-two million, four hundred twenty thousand, six hundred forty-two".