2240549680 has 120 divisors (see below), whose sum is σ = 5614515648. Its totient is φ = 828647424.

The previous prime is 2240549677. The next prime is 2240549683. The reversal of 2240549680 is 869450422.

It is an interprime number because it is at equal distance from previous prime (2240549677) and next prime (2240549683).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2240549683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6104857 + ... + 6105223.

Almost surely, 2^2240549680 is an apocalyptic number.

2240549680 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 2240549680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807257824).

2240549680 is an abundant number, since it is smaller than the sum of its proper divisors (3373965968).

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

2240549680 is a wasteful number, since it uses less digits than its factorization.

2240549680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 2240549680 is about 47334.4449634724. Note that the first 3 decimals coincide. The cubic root of 2240549680 is about 1308.5335414965.

The spelling of 2240549680 in words is "two billion, two hundred forty million, five hundred forty-nine thousand, six hundred eighty".