2053280 has 48 divisors (see below), whose sum is σ = 4985064. Its totient is φ = 798720.

The previous prime is 2053253. The next prime is 2053291. The reversal of 2053280 is 823502.

It can be written as a sum of positive squares in 4 ways, for example, as 425104 + 1628176 = 652^2 + 1276^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6404 + ... + 6716.

2^2053280 is an apocalyptic number.

2053280 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 2053280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492532).

2053280 is an abundant number, since it is smaller than the sum of its proper divisors (2931784).

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

2053280 is a wasteful number, since it uses less digits than its factorization.

2053280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2053280 is about 1432.9270742086. The cubic root of 2053280 is about 127.1011243270.

Adding to 2053280 its reverse (823502), we get a palindrome (2876782).

It can be divided in two parts, 205 and 3280, that multiplied together give a square (672400 = 820²).

The spelling of 2053280 in words is "two million, fifty-three thousand, two hundred eighty".