2563280 has 30 divisors (see below), whose sum is σ = 5993106. Its totient is φ = 1019584.

The previous prime is 2563261. The next prime is 2563291. The reversal of 2563280 is 823652.

It can be written as a sum of positive squares in only one way, i.e., 2050624 + 512656 = 1432^2 + 716^2 .

It is a d-powerful number, because it can be written as 2¹⁴ + 5⁸ + 6 + 3¹⁰ + 2²¹ + 8² + 0 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14231 + ... + 14409.

2^2563280 is an apocalyptic number.

2563280 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 2563280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996553).

2563280 is an abundant number, since it is smaller than the sum of its proper divisors (3429826).

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

2563280 is an equidigital number, since it uses as much as digits as its factorization.

2563280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 2563280 is about 1601.0246718898. The cubic root of 2563280 is about 136.8564749781.

Multiplying 2563280 by its product of nonzero digits (2880), we get a square (7382246400 = 85920²).

The spelling of 2563280 in words is "two million, five hundred sixty-three thousand, two hundred eighty".