240208020 has 72 divisors (see below), whose sum is σ = 784687176. Its totient is φ = 59127552.

The previous prime is 240207983. The next prime is 240208027. The reversal of 240208020 is 20802042.

It can be written as a sum of positive squares in 4 ways, for example, as 7584516 + 232623504 = 2754^2 + 15252^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 240207984 and 240208002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240208027) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 48987 + ... + 53666.

It is an arithmetic number, because the mean of its divisors is an integer number (10898433).

Almost surely, 2^240208020 is an apocalyptic number.

240208020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240208020 is an abundant number, since it is smaller than the sum of its proper divisors (544479156).

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

240208020 is a wasteful number, since it uses less digits than its factorization.

240208020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102681 (or 102676 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 240208020 is about 15498.6457472903. The cubic root of 240208020 is about 621.6259955935.

The spelling of 240208020 in words is "two hundred forty million, two hundred eight thousand, twenty".