240252007500 has 960 divisors, whose sum is σ = 865552934400. Its totient is φ = 57386880000.

The previous prime is 240252007477. The next prime is 240252007531. The reversal of 240252007500 is 5700252042.

240252007500 is a `hidden beast` number, since 2 + 402 + 5 + 200 + 7 + 50 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2894602459 + ... + 2894602541.

It is an arithmetic number, because the mean of its divisors is an integer number (901617640).

Almost surely, 2^240252007500 is an apocalyptic number.

240252007500 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 240252007500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432776467200).

240252007500 is an abundant number, since it is smaller than the sum of its proper divisors (625300926900).

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

240252007500 is a wasteful number, since it uses less digits than its factorization.

240252007500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

Adding to 240252007500 its reverse (5700252042), we get a palindrome (245952259542).

The spelling of 240252007500 in words is "two hundred forty billion, two hundred fifty-two million, seven thousand, five hundred".