1642212000 has 864 divisors, whose sum is σ = 7136897040. Its totient is φ = 354816000.

The previous prime is 1642211999. The next prime is 1642212001. The reversal of 1642212000 is 2122461.

1642212000 is a `hidden beast` number, since 1 + 642 + 2 + 1 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1642211999) and next prime (1642212001).

It can be written as a sum of positive squares in 8 ways, for example, as 17424 + 1642194576 = 132^2 + 40524^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1642212001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56627986 + ... + 56628014.

Almost surely, 2^1642212000 is an apocalyptic number.

1642212000 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 1642212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568448520).

1642212000 is an abundant number, since it is smaller than the sum of its proper divisors (5494685040).

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

1642212000 is a wasteful number, since it uses less digits than its factorization.

1642212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1642212000 is about 40524.2149831431. The cubic root of 1642212000 is about 1179.8036635899.

Adding to 1642212000 its reverse (2122461), we get a palindrome (1644334461).

The spelling of 1642212000 in words is "one billion, six hundred forty-two million, two hundred twelve thousand".