2119556413008 has 60 divisors (see below), whose sum is σ = 5956427562228. Its totient is φ = 703587179520.

The previous prime is 2119556413001. The next prime is 2119556413021. The reversal of 2119556413008 is 8003146559112.

It is a happy number.

2119556413008 is a `hidden beast` number, since 21 + 1 + 9 + 556 + 41 + 30 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1441325104704 + 678231308304 = 1200552^2 + 823548^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2119556413001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30502935 + ... + 30572342.

Almost surely, 2^{2119556413008} is an apocalyptic number.

It is an amenable number.

2119556413008 is an abundant number, since it is smaller than the sum of its proper divisors (3836871149220).

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

2119556413008 is a wasteful number, since it uses less digits than its factorization.

2119556413008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61075532 (or 61075523 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 2119556413008 in words is "two trillion, one hundred nineteen billion, five hundred fifty-six million, four hundred thirteen thousand, eight".