2172567977280 has 672 divisors, whose sum is σ = 8090070119040. Its totient is φ = 554407649280.

The previous prime is 2172567977257. The next prime is 2172567977297. The reversal of 2172567977280 is 827797652712.

2172567977280 is a `hidden beast` number, since 2 + 17 + 256 + 7 + 97 + 7 + 280 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 175498131 + ... + 175510509.

It is an arithmetic number, because the mean of its divisors is an integer number (12038794820).

Almost surely, 2^{2172567977280} is an apocalyptic number.

2172567977280 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 2172567977280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4045035059520).

2172567977280 is an abundant number, since it is smaller than the sum of its proper divisors (5917502141760).

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

2172567977280 is a wasteful number, since it uses less digits than its factorization.

2172567977280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12509 (or 12487 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 63.

The spelling of 2172567977280 in words is "two trillion, one hundred seventy-two billion, five hundred sixty-seven million, nine hundred seventy-seven thousand, two hundred eighty".