2444000940672 has 256 divisors, whose sum is σ = 7263439257600. Its totient is φ = 724121468928.

The previous prime is 2444000940671. The next prime is 2444000940701. The reversal of 2444000940672 is 2760490004442.

It is a super-3 number, since 3×2444000940672³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2444000940671) 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 31 ways as a sum of consecutive naturals, for example, 11758353 + ... + 11964399.

It is an arithmetic number, because the mean of its divisors is an integer number (28372809600).

Almost surely, 2^{2444000940672} 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 2444000940672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3631719628800).

2444000940672 is an abundant number, since it is smaller than the sum of its proper divisors (4819438316928).

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

2444000940672 is a wasteful number, since it uses less digits than its factorization.

2444000940672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206183 (or 206171 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 2444000940672 in words is "two trillion, four hundred forty-four billion, nine hundred forty thousand, six hundred seventy-two".