2170442504160 has 576 divisors, whose sum is σ = 8967971376000. Its totient is φ = 466641616896.

The previous prime is 2170442504141. The next prime is 2170442504161. The reversal of 2170442504160 is 614052440712.

2170442504160 is a `hidden beast` number, since 2 + 1 + 7 + 0 + 442 + 50 + 4 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2170442504161) 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, 436794156 + ... + 436799124.

It is an arithmetic number, because the mean of its divisors is an integer number (15569394750).

Almost surely, 2^{2170442504160} is an apocalyptic number.

2170442504160 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 2170442504160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4483985688000).

2170442504160 is an abundant number, since it is smaller than the sum of its proper divisors (6797528871840).

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

2170442504160 is a wasteful number, since it uses less digits than its factorization.

2170442504160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7563 (or 7552 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 2170442504160 its reverse (614052440712), we get a palindrome (2784494944872).

The spelling of 2170442504160 in words is "two trillion, one hundred seventy billion, four hundred forty-two million, five hundred four thousand, one hundred sixty".