2172682538240 has 72 divisors (see below), whose sum is σ = 5209018436328. Its totient is φ = 868277329920.

The previous prime is 2172682538219. The next prime is 2172682538249. The reversal of 2172682538240 is 428352862712.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 219038976256 + 1953643561984 = 468016^2 + 1397728^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2172682538249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 622550 + ... + 2175530.

Almost surely, 2^{2172682538240} is an apocalyptic number.

2172682538240 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 2172682538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604509218164).

2172682538240 is an abundant number, since it is smaller than the sum of its proper divisors (3036335898088).

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

2172682538240 is a wasteful number, since it uses less digits than its factorization.

2172682538240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554095 (or 1554081 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 50.

The spelling of 2172682538240 in words is "two trillion, one hundred seventy-two billion, six hundred eighty-two million, five hundred thirty-eight thousand, two hundred forty".