242624153340 has 288 divisors, whose sum is σ = 798780999744. Its totient is φ = 59386060800.

The previous prime is 242624153309. The next prime is 242624153341. The reversal of 242624153340 is 43351426242.

242624153340 is a `hidden beast` number, since 2 + 4 + 26 + 241 + 53 + 340 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 242624153295 and 242624153304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242624153341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20701162 + ... + 20712878.

It is an arithmetic number, because the mean of its divisors is an integer number (2773545138).

Almost surely, 2^242624153340 is an apocalyptic number.

242624153340 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 242624153340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399390499872).

242624153340 is an abundant number, since it is smaller than the sum of its proper divisors (556156846404).

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

242624153340 is a wasteful number, since it uses less digits than its factorization.

242624153340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11917 (or 11912 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 242624153340 its reverse (43351426242), we get a palindrome (285975579582).

The spelling of 242624153340 in words is "two hundred forty-two billion, six hundred twenty-four million, one hundred fifty-three thousand, three hundred forty".