2042556604704 has 288 divisors, whose sum is σ = 7667780754816. Its totient is φ = 499326197760.

The previous prime is 2042556604681. The next prime is 2042556604709. The reversal of 2042556604704 is 4074066552402.

2042556604704 is a `hidden beast` number, since 2 + 0 + 42 + 5 + 566 + 0 + 47 + 0 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2042556604704.

It is not an unprimeable number, because it can be changed into a prime (2042556604709) 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 47 ways as a sum of consecutive naturals, for example, 2332027 + ... + 3086010.

It is an arithmetic number, because the mean of its divisors is an integer number (26624238732).

Almost surely, 2^{2042556604704} is an apocalyptic number.

2042556604704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2042556604704 is an abundant number, since it is smaller than the sum of its proper divisors (5625224150112).

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

2042556604704 is a wasteful number, since it uses less digits than its factorization.

2042556604704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5418088 (or 5418077 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 2042556604704 in words is "two trillion, forty-two billion, five hundred fifty-six million, six hundred four thousand, seven hundred four".