2259760 has 40 divisors (see below), whose sum is σ = 5374656. Its totient is φ = 883200.

The previous prime is 2259739. The next prime is 2259769. The reversal of 2259760 is 679522.

2259760 = 30² + 31² + ... + 189².

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

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2259769) 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, 3460 + ... + 4060.

2^2259760 is an apocalyptic number.

2259760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2259760 is the 752-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2259760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2687328).

2259760 is an abundant number, since it is smaller than the sum of its proper divisors (3114896).

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

2259760 is a wasteful number, since it uses less digits than its factorization.

2259760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 2259760 is about 1503.2498129054. The cubic root of 2259760 is about 131.2262663057.

The spelling of 2259760 in words is "two million, two hundred fifty-nine thousand, seven hundred sixty".