240890040 has 192 divisors, whose sum is σ = 835660800. Its totient is φ = 60039936.

The previous prime is 240890033. The next prime is 240890059. The reversal of 240890040 is 40098042.

It is a super-2 number, since 2×240890040² = 116056022742403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240889986 and 240890013.

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, 388851 + ... + 389469.

It is an arithmetic number, because the mean of its divisors is an integer number (4352400).

Almost surely, 2^240890040 is an apocalyptic number.

240890040 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 240890040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417830400).

240890040 is an abundant number, since it is smaller than the sum of its proper divisors (594770760).

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

240890040 is a wasteful number, since it uses less digits than its factorization.

240890040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 240890040 is about 15520.6327190614. The cubic root of 240890040 is about 622.2137649550.

The spelling of 240890040 in words is "two hundred forty million, eight hundred ninety thousand, forty".