2438810661672 has 768 divisors, whose sum is σ = 8678202624000. Its totient is φ = 600280934400.

The previous prime is 2438810661671. The next prime is 2438810661697. The reversal of 2438810661672 is 2761660188342.

It is a happy number.

2438810661672 is a `hidden beast` number, since 2 + 4 + 3 + 8 + 8 + 10 + 6 + 616 + 7 + 2 = 666.

2438810661672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2438810661671) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2388648522 + ... + 2388649542.

It is an arithmetic number, because the mean of its divisors is an integer number (11299743000).

Almost surely, 2^{2438810661672} is an apocalyptic number.

2438810661672 is a gapful number since it is divisible by the number (22) 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 2438810661672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4339101312000).

2438810661672 is an abundant number, since it is smaller than the sum of its proper divisors (6239391962328).

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

2438810661672 is a wasteful number, since it uses less digits than its factorization.

2438810661672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2438810661672 in words is "two trillion, four hundred thirty-eight billion, eight hundred ten million, six hundred sixty-one thousand, six hundred seventy-two".