2170640 has 40 divisors (see below), whose sum is σ = 5172288. Its totient is φ = 846720.

The previous prime is 2170639. The next prime is 2170643. The reversal of 2170640 is 460712.

2170640 = T₂₉₆ + T₂₉₇ + ... + T₃₃₈.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2170643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3125 + ... + 3755.

2^2170640 is an apocalyptic number.

2170640 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 2170640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586144).

2170640 is an abundant number, since it is smaller than the sum of its proper divisors (3001648).

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

2170640 is a wasteful number, since it uses less digits than its factorization.

2170640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 2170640 is about 1473.3092004057. The cubic root of 2170640 is about 129.4779855544.

The spelling of 2170640 in words is "two million, one hundred seventy thousand, six hundred forty".