213782106240 has 96 divisors (see below), whose sum is σ = 738216355500. Its totient is φ = 57008560128.

The previous prime is 213782106203. The next prime is 213782106247. The reversal of 213782106240 is 42601287312.

It is a happy number.

213782106240 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 8 + 21 + 0 + 624 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 181700997696 + 32081108544 = 426264^2 + 179112^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 = 213782106195 and 213782106204.

It is not an unprimeable number, because it can be changed into a prime (213782106247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18551715 + ... + 18563234.

Almost surely, 2^213782106240 is an apocalyptic number.

213782106240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213782106240 is an abundant number, since it is smaller than the sum of its proper divisors (524434249260).

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

213782106240 is a wasteful number, since it uses less digits than its factorization.

213782106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37114974 (or 37114959 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 213782106240 in words is "two hundred thirteen billion, seven hundred eighty-two million, one hundred six thousand, two hundred forty".