2563840 has 36 divisors (see below), whose sum is σ = 6144264. Its totient is φ = 1025024.

The previous prime is 2563837. The next prime is 2563849. The reversal of 2563840 is 483652.

It is a junction number, because it is equal to n+sod(n) for n = 2563799 and 2563808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2563849) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 279 + ... + 2281.

It is an arithmetic number, because the mean of its divisors is an integer number (170674).

2^2563840 is an apocalyptic number.

2563840 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 2563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072132).

2563840 is an abundant number, since it is smaller than the sum of its proper divisors (3580424).

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

2563840 is an equidigital number, since it uses as much as digits as its factorization.

2563840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2563840 is about 1601.1995503372. The cubic root of 2563840 is about 136.8664406010.

It can be divided in two parts, 2563 and 840, that added together give a triangular number (3403 = T₈₂).

The spelling of 2563840 in words is "two million, five hundred sixty-three thousand, eight hundred forty".