240353820672 has 240 divisors, whose sum is σ = 771057315840. Its totient is φ = 65056407552.

The previous prime is 240353820661. The next prime is 240353820683. The reversal of 240353820672 is 276028353042.

It is an interprime number because it is at equal distance from previous prime (240353820661) and next prime (240353820683).

It is a super-2 number, since 2×240353820672² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6518833 + ... + 6555599.

It is an arithmetic number, because the mean of its divisors is an integer number (3212738816).

Almost surely, 2^240353820672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240353820672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385528657920).

240353820672 is an abundant number, since it is smaller than the sum of its proper divisors (530703495168).

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

240353820672 is an equidigital number, since it uses as much as digits as its factorization.

240353820672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36824 (or 36798 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 240353820672 in words is "two hundred forty billion, three hundred fifty-three million, eight hundred twenty thousand, six hundred seventy-two".