2438076830112 has 288 divisors, whose sum is σ = 8964244283904. Its totient is φ = 633266553600.

The previous prime is 2438076830107. The next prime is 2438076830113. The reversal of 2438076830112 is 2110386708342.

2438076830112 is a `hidden beast` number, since 2 + 438 + 0 + 76 + 8 + 30 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (2438076830113) 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 47 ways as a sum of consecutive naturals, for example, 1437214 + ... + 2634717.

It is an arithmetic number, because the mean of its divisors is an integer number (31125848208).

Almost surely, 2^{2438076830112} is an apocalyptic number.

2438076830112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2438076830112 is an abundant number, since it is smaller than the sum of its proper divisors (6526167453792).

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

2438076830112 is a wasteful number, since it uses less digits than its factorization.

2438076830112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4071974 (or 4071954 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2438076830112 in words is "two trillion, four hundred thirty-eight billion, seventy-six million, eight hundred thirty thousand, one hundred twelve".