212040642 has 48 divisors (see below), whose sum is σ = 471100896. Its totient is φ = 63571200.

The previous prime is 212040637. The next prime is 212040659. The reversal of 212040642 is 246040212.

It is a super-2 number, since 2×212040642² = 89922467719544328, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68917 + ... + 71927.

It is an arithmetic number, because the mean of its divisors is an integer number (9814602).

Almost surely, 2^212040642 is an apocalyptic number.

212040642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 212040642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235550448).

212040642 is an abundant number, since it is smaller than the sum of its proper divisors (259060254).

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

212040642 is a wasteful number, since it uses less digits than its factorization.

212040642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 212040642 is about 14561.6153636882. The cubic root of 212040642 is about 596.3112966970.

Adding to 212040642 its reverse (246040212), we get a palindrome (458080854).

The spelling of 212040642 in words is "two hundred twelve million, forty thousand, six hundred forty-two".