2738842804404 has 288 divisors, whose sum is σ = 8296889409536. Its totient is φ = 745302539520.

The previous prime is 2738842804393. The next prime is 2738842804441. The reversal of 2738842804404 is 4044082488372.

2738842804404 is a `hidden beast` number, since 2 + 7 + 3 + 88 + 42 + 80 + 440 + 4 = 666.

2738842804404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 901823574 + ... + 901826610.

Almost surely, 2^{2738842804404} 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 2738842804404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4148444704768).

2738842804404 is an abundant number, since it is smaller than the sum of its proper divisors (5558046605132).

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

2738842804404 is a wasteful number, since it uses less digits than its factorization.

2738842804404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4875 (or 4870 counting only the distinct ones).

The product of its (nonzero) digits is 11010048, while the sum is 54.

The spelling of 2738842804404 in words is "two trillion, seven hundred thirty-eight billion, eight hundred forty-two million, eight hundred four thousand, four hundred four".