240250261680 has 1280 divisors, whose sum is σ = 1015495004160. Its totient is φ = 51425280000.

The previous prime is 240250261679. The next prime is 240250261703. The reversal of 240250261680 is 86162052042.

It is a happy number.

240250261680 is a `hidden beast` number, since 240 + 250 + 2 + 6 + 168 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 772508725 + ... + 772509035.

It is an arithmetic number, because the mean of its divisors is an integer number (793355472).

Almost surely, 2^240250261680 is an apocalyptic number.

240250261680 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 240250261680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507747502080).

240250261680 is an abundant number, since it is smaller than the sum of its proper divisors (775244742480).

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

240250261680 is a wasteful number, since it uses less digits than its factorization.

240250261680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 240250261680 in words is "two hundred forty billion, two hundred fifty million, two hundred sixty-one thousand, six hundred eighty".