2042188420608 has 480 divisors, whose sum is σ = 7442244665856. Its totient is φ = 525280149504.

The previous prime is 2042188420579. The next prime is 2042188420621. The reversal of 2042188420608 is 8060248812402.

2042188420608 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 18 + 8 + 4 + 20 + 608 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12531135 + ... + 12693057.

Almost surely, 2^{2042188420608} is an apocalyptic number.

2042188420608 is a gapful number since it is divisible by the number (28) 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 2042188420608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3721122332928).

2042188420608 is an abundant number, since it is smaller than the sum of its proper divisors (5400056245248).

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

2042188420608 is a wasteful number, since it uses less digits than its factorization.

2042188420608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161994 (or 161975 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 2042188420608 in words is "two trillion, forty-two billion, one hundred eighty-eight million, four hundred twenty thousand, six hundred eight".