2440350720 has 352 divisors, whose sum is σ = 8803737600. Its totient is φ = 640991232.

The previous prime is 2440350701. The next prime is 2440350739. The reversal of 2440350720 is 270530442.

2440350720 is a `hidden beast` number, since 244 + 0 + 350 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2440350701) and next prime (2440350739).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 17556411 + ... + 17556549.

Almost surely, 2^2440350720 is an apocalyptic number.

2440350720 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 2440350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4401868800).

2440350720 is an abundant number, since it is smaller than the sum of its proper divisors (6363386880).

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

2440350720 is a wasteful number, since it uses less digits than its factorization.

2440350720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 2440350720 is about 49399.9060727852. The cubic root of 2440350720 is about 1346.3275992855.

The spelling of 2440350720 in words is "two billion, four hundred forty million, three hundred fifty thousand, seven hundred twenty".