2042048945664 has 1920 divisors, whose sum is σ = 8022729369600. Its totient is φ = 501008302080.

The previous prime is 2042048945647. The next prime is 2042048945737. The reversal of 2042048945664 is 4665498402402.

2042048945664 is a `hidden beast` number, since 20 + 42 + 0 + 489 + 45 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2042048945664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22944370132 + ... + 22944370220.

It is an arithmetic number, because the mean of its divisors is an integer number (4178504880).

Almost surely, 2^{2042048945664} is an apocalyptic number.

2042048945664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042048945664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4011364684800).

2042048945664 is an abundant number, since it is smaller than the sum of its proper divisors (5980680423936).

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

2042048945664 is a wasteful number, since it uses less digits than its factorization.

2042048945664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 2042048945664 in words is "two trillion, forty-two billion, forty-eight million, nine hundred forty-five thousand, six hundred sixty-four".