2175370940160 has 2880 divisors, whose sum is σ = 9606341162880. Its totient is φ = 463743221760.

The previous prime is 2175370940081. The next prime is 2175370940161. The reversal of 2175370940160 is 610490735712.

2175370940160 is a `hidden beast` number, since 2 + 17 + 537 + 0 + 9 + 40 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2175370940161) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 29799601884 + ... + 29799601956.

It is an arithmetic number, because the mean of its divisors is an integer number (3335535126).

Almost surely, 2^{2175370940160} is an apocalyptic number.

2175370940160 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 2175370940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4803170581440).

2175370940160 is an abundant number, since it is smaller than the sum of its proper divisors (7430970222720).

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

2175370940160 is a wasteful number, since it uses less digits than its factorization.

2175370940160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 2175370940160 in words is "two trillion, one hundred seventy-five billion, three hundred seventy million, nine hundred forty thousand, one hundred sixty".