2355280 has 40 divisors (see below), whose sum is σ = 5580000. Its totient is φ = 924288.

The previous prime is 2355277. The next prime is 2355289. The reversal of 2355280 is 825532.

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 (2355289) 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, 4471 + ... + 4969.

It is an arithmetic number, because the mean of its divisors is an integer number (139500).

2^2355280 is an apocalyptic number.

2355280 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 2355280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790000).

2355280 is an abundant number, since it is smaller than the sum of its proper divisors (3224720).

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

2355280 is a wasteful number, since it uses less digits than its factorization.

2355280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 2355280 is about 1534.6921515405. The cubic root of 2355280 is about 133.0497863245.

It can be divided in two parts, 23552 and 80, that added together give a palindrome (23632).

The spelling of 2355280 in words is "two million, three hundred fifty-five thousand, two hundred eighty".