2248840 has 64 divisors (see below), whose sum is σ = 5832000. Its totient is φ = 771840.

The previous prime is 2248837. The next prime is 2248847. The reversal of 2248840 is 488422.

It is a d-powerful number, because it can be written as 2⁷ + 2¹⁷ + 4⁶ + 8 + 8⁷ + 4⁷ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 2248799 and 2248808.

It is not an unprimeable number, because it can be changed into a prime (2248847) 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, 8226 + ... + 8494.

It is an arithmetic number, because the mean of its divisors is an integer number (91125).

2^2248840 is an apocalyptic number.

2248840 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 2248840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916000).

2248840 is an abundant number, since it is smaller than the sum of its proper divisors (3583160).

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

2248840 is a wasteful number, since it uses less digits than its factorization.

2248840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 2248840 is about 1499.6132834834. The cubic root of 2248840 is about 131.0145468763.

It can be divided in two parts, 2 and 248840, that added together give a palindrome (248842).

The spelling of 2248840 in words is "two million, two hundred forty-eight thousand, eight hundred forty".