2151760 has 40 divisors (see below), whose sum is σ = 5390280. Its totient is φ = 794112.

The previous prime is 2151703. The next prime is 2151767. The reversal of 2151760 is 671512.

It can be written as a sum of positive squares in 4 ways, for example, as 8464 + 2143296 = 92^2 + 1464^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2151767) 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, 6 + ... + 2074.

It is an arithmetic number, because the mean of its divisors is an integer number (134757).

2^2151760 is an apocalyptic number.

2151760 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 2151760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695140).

2151760 is an abundant number, since it is smaller than the sum of its proper divisors (3238520).

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

2151760 is a wasteful number, since it uses less digits than its factorization.

2151760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 2151760 is about 1466.8878621081. The cubic root of 2151760 is about 129.1014965498.

The spelling of 2151760 in words is "two million, one hundred fifty-one thousand, seven hundred sixty".