2042279763552 has 432 divisors, whose sum is σ = 7211739225600. Its totient is φ = 545006568960.

The previous prime is 2042279763523. The next prime is 2042279763607. The reversal of 2042279763552 is 2553679722402.

2042279763552 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 27 + 9 + 7 + 63 + 552 = 666.

It is a super-2 number, since 2×2042279763552² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 18983449 + ... + 19090727.

It is an arithmetic number, because the mean of its divisors is an integer number (16693840800).

Almost surely, 2^{2042279763552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042279763552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3605869612800).

2042279763552 is an abundant number, since it is smaller than the sum of its proper divisors (5169459462048).

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

2042279763552 is a wasteful number, since it uses less digits than its factorization.

2042279763552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107399 (or 107381 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 2042279763552 in words is "two trillion, forty-two billion, two hundred seventy-nine million, seven hundred sixty-three thousand, five hundred fifty-two".