2042686806552 has 1152 divisors, whose sum is σ = 7154119065600. Its totient is φ = 523476172800.

The previous prime is 2042686806539. The next prime is 2042686806593. The reversal of 2042686806552 is 2556086862402.

2042686806552 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 6 + 8 + 6 + 80 + 6 + 552 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10583869368 + ... + 10583869560.

It is an arithmetic number, because the mean of its divisors is an integer number (6210172800).

Almost surely, 2^{2042686806552} 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 2042686806552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577059532800).

2042686806552 is an abundant number, since it is smaller than the sum of its proper divisors (5111432259048).

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

2042686806552 is a wasteful number, since it uses less digits than its factorization.

2042686806552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 2042686806552 in words is "two trillion, forty-two billion, six hundred eighty-six million, eight hundred six thousand, five hundred fifty-two".