2442006669312 has 1536 divisors, whose sum is σ = 9238634496000. Its totient is φ = 621297008640.

The previous prime is 2442006669259. The next prime is 2442006669313. The reversal of 2442006669312 is 2139666002442.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-3 number, since 3×2442006669312³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2442006669313) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12785375137 + ... + 12785375327.

It is an arithmetic number, because the mean of its divisors is an integer number (6014736000).

Almost surely, 2^{2442006669312} 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 2442006669312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4619317248000).

2442006669312 is an abundant number, since it is smaller than the sum of its proper divisors (6796627826688).

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

2442006669312 is a wasteful number, since it uses less digits than its factorization.

2442006669312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 2442006669312 in words is "two trillion, four hundred forty-two billion, six million, six hundred sixty-nine thousand, three hundred twelve".