2170560 has 224 divisors, whose sum is σ = 8778240. Its totient is φ = 442368.

The previous prime is 2170549. The next prime is 2170573. The reversal of 2170560 is 650712.

2170560 = T₇₈₄ + T₇₈₅ + ... + T₇₉₀.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×2170560² = 9422661427200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114231 + ... + 114249.

2^2170560 is an apocalyptic number.

2170560 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 2170560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389120).

2170560 is an abundant number, since it is smaller than the sum of its proper divisors (6607680).

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

2170560 is a wasteful number, since it uses less digits than its factorization.

2170560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 2170560 is about 1473.2820503895. The cubic root of 2170560 is about 129.4763948766.

The spelling of 2170560 in words is "two million, one hundred seventy thousand, five hundred sixty".