240215100000000 has 2592 divisors, whose sum is σ = 928422649647360. Its totient is φ = 54743040000000.

The previous prime is 240215099999989. The next prime is 240215100000023. The reversal of 240215100000000 is 1512042.

240215100000000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3585299999967 + ... + 3585300000033.

Almost surely, 2^{240215100000000} is an apocalyptic number.

240215100000000 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 240215100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464211324823680).

240215100000000 is an abundant number, since it is smaller than the sum of its proper divisors (688207549647360).

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

240215100000000 is an frugal number, since it uses more digits than its factorization.

240215100000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 240215100000000 its reverse (1512042), we get a palindrome (240215101512042).

The spelling of 240215100000000 in words is "two hundred forty trillion, two hundred fifteen billion, one hundred million", and thus it is an aban number.