212035764240 has 120 divisors (see below), whose sum is σ = 712486516248. Its totient is φ = 56511129600.

The previous prime is 212035764223. The next prime is 212035764263. The reversal of 212035764240 is 42467530212.

212035764240 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 3 + 5 + 7 + 642 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16091429904 + 195944334336 = 126852^2 + 442656^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 212035764195 and 212035764204.

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, 1214962 + ... + 1378478.

Almost surely, 2^212035764240 is an apocalyptic number.

212035764240 is a gapful number since it is divisible by the number (20) 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 212035764240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356243258124).

212035764240 is an abundant number, since it is smaller than the sum of its proper divisors (500450752008).

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

212035764240 is a wasteful number, since it uses less digits than its factorization.

212035764240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165337 (or 165328 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 212035764240 in words is "two hundred twelve billion, thirty-five million, seven hundred sixty-four thousand, two hundred forty".