2121760 has 48 divisors (see below), whose sum is σ = 5103000. Its totient is φ = 833536.

The previous prime is 2121751. The next prime is 2121761. The reversal of 2121760 is 671212.

2121760 = T₃₆₁ + T₃₆₂ + ... + T₃₉₀.

It can be written as a sum of positive squares in 4 ways, for example, as 929296 + 1192464 = 964^2 + 1092^2 .

It is not an unprimeable number, because it can be changed into a prime (2121761) 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, 14166 + ... + 14314.

2^2121760 is an apocalyptic number.

2121760 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 2121760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551500).

2121760 is an abundant number, since it is smaller than the sum of its proper divisors (2981240).

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

2121760 is a wasteful number, since it uses less digits than its factorization.

2121760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 2121760 is about 1456.6262389508. The cubic root of 2121760 is about 128.4987054935.

Adding to 2121760 its reverse (671212), we get a palindrome (2792972).

The spelling of 2121760 in words is "two million, one hundred twenty-one thousand, seven hundred sixty".