1942056000 has 504 divisors, whose sum is σ = 7408855896. Its totient is φ = 503884800.

The previous prime is 1942055989. The next prime is 1942056001. The reversal of 1942056000 is 6502491.

1942056000 is a `hidden beast` number, since 19 + 42 + 0 + 5 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 419904 + 1941636096 = 648^2 + 44064^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1942056001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52487982 + ... + 52488018.

Almost surely, 2^1942056000 is an apocalyptic number.

1942056000 is a gapful number since it is divisible by the number (10) 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 1942056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3704427948).

1942056000 is an abundant number, since it is smaller than the sum of its proper divisors (5466799896).

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

1942056000 is an frugal number, since it uses more digits than its factorization.

1942056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1942056000 is about 44068.7644483028. The cubic root of 1942056000 is about 1247.6341383172.

Adding to 1942056000 its reverse (6502491), we get a palindrome (1948558491).

The spelling of 1942056000 in words is "one billion, nine hundred forty-two million, fifty-six thousand".