240242211900 has 288 divisors, whose sum is σ = 779149784000. Its totient is φ = 63501926400.

The previous prime is 240242211893. The next prime is 240242211929. The reversal of 240242211900 is 9112242042.

240242211900 is a `hidden beast` number, since 2 + 402 + 42 + 211 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×240242211900² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 181863240 + ... + 181864560.

Almost surely, 2^240242211900 is an apocalyptic number.

240242211900 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 240242211900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389574892000).

240242211900 is an abundant number, since it is smaller than the sum of its proper divisors (538907572100).

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

240242211900 is a wasteful number, since it uses less digits than its factorization.

240242211900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 240242211900 its reverse (9112242042), we get a palindrome (249354453942).

The spelling of 240242211900 in words is "two hundred forty billion, two hundred forty-two million, two hundred eleven thousand, nine hundred".