2240879040 has 224 divisors, whose sum is σ = 7936992000. Its totient is φ = 595178496.

The previous prime is 2240879009. The next prime is 2240879087. The reversal of 2240879040 is 409780422.

It is a super-2 number, since 2×2240879040² = 10043077743822643200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2240878986 and 2240879004.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3619851 + ... + 3620469.

It is an arithmetic number, because the mean of its divisors is an integer number (35433000).

Almost surely, 2^2240879040 is an apocalyptic number.

2240879040 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 2240879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3968496000).

2240879040 is an abundant number, since it is smaller than the sum of its proper divisors (5696112960).

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

2240879040 is a wasteful number, since it uses less digits than its factorization.

2240879040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2240879040 is about 47337.9239088492. The cubic root of 2240879040 is about 1308.5976563422.

The spelling of 2240879040 in words is "two billion, two hundred forty million, eight hundred seventy-nine thousand, forty".