2170705152220 has 96 divisors (see below), whose sum is σ = 5026957189632. Its totient is φ = 780780000000.

The previous prime is 2170705152197. The next prime is 2170705152227. The reversal of 2170705152220 is 222515070712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2170705152227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23306745 + ... + 23399695.

It is an arithmetic number, because the mean of its divisors is an integer number (52364137392).

Almost surely, 2^{2170705152220} is an apocalyptic number.

2170705152220 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 2170705152220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513478594816).

2170705152220 is an abundant number, since it is smaller than the sum of its proper divisors (2856252037412).

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

2170705152220 is a wasteful number, since it uses less digits than its factorization.

2170705152220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94123 (or 94121 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 34.

The spelling of 2170705152220 in words is "two trillion, one hundred seventy billion, seven hundred five million, one hundred fifty-two thousand, two hundred twenty".