240533264880 has 800 divisors, whose sum is σ = 906923381760. Its totient is φ = 58891069440.

The previous prime is 240533264849. The next prime is 240533264893. The reversal of 240533264880 is 88462335042.

240533264880 is a `hidden beast` number, since 240 + 5 + 3 + 326 + 4 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1139967975 + ... + 1139968185.

Almost surely, 2^240533264880 is an apocalyptic number.

240533264880 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 240533264880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453461690880).

240533264880 is an abundant number, since it is smaller than the sum of its proper divisors (666390116880).

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

240533264880 is a wasteful number, since it uses less digits than its factorization.

240533264880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 240533264880 in words is "two hundred forty billion, five hundred thirty-three million, two hundred sixty-four thousand, eight hundred eighty".