2563220 has 48 divisors (see below), whose sum is σ = 5999616. Its totient is φ = 912000.

The previous prime is 2563217. The next prime is 2563229. The reversal of 2563220 is 223652.

It is a happy number.

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

It is a d-powerful number, because it can be written as 2² + 5⁸ + 6 + 3¹⁰ + 2¹⁴ + 2²¹ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 2563192 and 2563201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2563229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13325 + ... + 13515.

It is an arithmetic number, because the mean of its divisors is an integer number (124992).

2^2563220 is an apocalyptic number.

2563220 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 2563220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999808).

2563220 is an abundant number, since it is smaller than the sum of its proper divisors (3436396).

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

2563220 is a wasteful number, since it uses less digits than its factorization.

2563220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2563220 is about 1601.0059337804. The cubic root of 2563220 is about 136.8554071467.

Adding to 2563220 its reverse (223652), we get a palindrome (2786872).

It can be divided in two parts, 25632 and 20, that added together give a palindrome (25652).

The spelling of 2563220 in words is "two million, five hundred sixty-three thousand, two hundred twenty".