2240408840 has 64 divisors (see below), whose sum is σ = 5293935360. Its totient is φ = 851685120.

The previous prime is 2240408809. The next prime is 2240408861. The reversal of 2240408840 is 488040422.

It is a junction number, because it is equal to n+sod(n) for n = 2240408797 and 2240408806.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136685 + ... + 152195.

It is an arithmetic number, because the mean of its divisors is an integer number (82717740).

Almost surely, 2^2240408840 is an apocalyptic number.

2240408840 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 2240408840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646967680).

2240408840 is an abundant number, since it is smaller than the sum of its proper divisors (3053526520).

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

2240408840 is a wasteful number, since it uses less digits than its factorization.

2240408840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15702 (or 15698 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 2240408840 is about 47332.9572285527. The cubic root of 2240408840 is about 1308.5061229680.

The spelling of 2240408840 in words is "two billion, two hundred forty million, four hundred eight thousand, eight hundred forty".