2906438427672 has 64 divisors (see below), whose sum is σ = 8077446773760. Its totient is φ = 865440720000.

The previous prime is 2906438427671. The next prime is 2906438427691. The reversal of 2906438427672 is 2767248346092.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2906438427671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150240454 + ... + 150259797.

It is an arithmetic number, because the mean of its divisors is an integer number (126210105840).

Almost surely, 2^{2906438427672} is an apocalyptic number.

It is an amenable number.

2906438427672 is an abundant number, since it is smaller than the sum of its proper divisors (5171008346088).

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

2906438427672 is a wasteful number, since it uses less digits than its factorization.

2906438427672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300500304 (or 300500300 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 60.

The spelling of 2906438427672 in words is "two trillion, nine hundred six billion, four hundred thirty-eight million, four hundred twenty-seven thousand, six hundred seventy-two".