2172665242608 has 480 divisors, whose sum is σ = 6829248614400. Its totient is φ = 592812380160.

The previous prime is 2172665242603. The next prime is 2172665242609. The reversal of 2172665242608 is 8062425662712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2172665242603) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1987799310 + ... + 1987800402.

It is an arithmetic number, because the mean of its divisors is an integer number (14227601280).

Almost surely, 2^{2172665242608} is an apocalyptic number.

2172665242608 is a gapful number since it is divisible by the number (28) 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 2172665242608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414624307200).

2172665242608 is an abundant number, since it is smaller than the sum of its proper divisors (4656583371792).

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

2172665242608 is a wasteful number, since it uses less digits than its factorization.

2172665242608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 2172665242608 in words is "two trillion, one hundred seventy-two billion, six hundred sixty-five million, two hundred forty-two thousand, six hundred eight".