210507584742 has 144 divisors (see below), whose sum is σ = 577271272032. Its totient is φ = 54945838080.

The previous prime is 210507584711. The next prime is 210507584747. The reversal of 210507584742 is 247485705012.

210507584742 is a `hidden beast` number, since 2 + 10 + 50 + 7 + 584 + 7 + 4 + 2 = 666.

It is a super-2 number, since 2×210507584742² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210507584747) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1017567 + ... + 1206837.

It is an arithmetic number, because the mean of its divisors is an integer number (4008828278).

Almost surely, 2^210507584742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210507584742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288635636016).

210507584742 is an abundant number, since it is smaller than the sum of its proper divisors (366763687290).

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

210507584742 is a wasteful number, since it uses less digits than its factorization.

210507584742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189403 (or 189393 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 210507584742 in words is "two hundred ten billion, five hundred seven million, five hundred eighty-four thousand, seven hundred forty-two".