240388769280 has 640 divisors, whose sum is σ = 903034344960. Its totient is φ = 53899427840.

The previous prime is 240388769267. The next prime is 240388769287. The reversal of 240388769280 is 82967883042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 240388769280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240388769287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84732022 + ... + 84734858.

It is an arithmetic number, because the mean of its divisors is an integer number (1410991164).

Almost surely, 2^240388769280 is an apocalyptic number.

240388769280 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 240388769280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451517172480).

240388769280 is an abundant number, since it is smaller than the sum of its proper divisors (662645575680).

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

240388769280 is a wasteful number, since it uses less digits than its factorization.

240388769280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2950 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 240388769280 in words is "two hundred forty billion, three hundred eighty-eight million, seven hundred sixty-nine thousand, two hundred eighty".