240902643648 has 224 divisors, whose sum is σ = 699806779200. Its totient is φ = 72798437376.

The previous prime is 240902643643. The next prime is 240902643689. The reversal of 240902643648 is 846346209042.

240902643648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 240902643597 and 240902643606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240902643643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43255008 + ... + 43260576.

Almost surely, 2^240902643648 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 240902643648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349903389600).

240902643648 is an abundant number, since it is smaller than the sum of its proper divisors (458904135552).

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

240902643648 is a wasteful number, since it uses less digits than its factorization.

240902643648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6087 (or 6077 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 240902643648 in words is "two hundred forty billion, nine hundred two million, six hundred forty-three thousand, six hundred forty-eight".