2240259840 has 432 divisors, whose sum is σ = 9544237248. Its totient is φ = 472449024.

The previous prime is 2240259839. The next prime is 2240259893. The reversal of 2240259840 is 489520422.

2240259840 is a `hidden beast` number, since 2 + 24 + 0 + 2 + 598 + 40 = 666.

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 = 2240259795 and 2240259804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1047252 + ... + 1049388.

Almost surely, 2^2240259840 is an apocalyptic number.

2240259840 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 2240259840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4772118624).

2240259840 is an abundant number, since it is smaller than the sum of its proper divisors (7303977408).

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

2240259840 is a wasteful number, since it uses less digits than its factorization.

2240259840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2240259840 is about 47331.3832462141. The cubic root of 2240259840 is about 1308.4771146116.

The spelling of 2240259840 in words is "two billion, two hundred forty million, two hundred fifty-nine thousand, eight hundred forty".