2306242137150 has 480 divisors, whose sum is σ = 7683699640320. Its totient is φ = 501761952000.

The previous prime is 2306242137137. The next prime is 2306242137193. The reversal of 2306242137150 is 517312426032.

2306242137150 is a `hidden beast` number, since 2 + 3 + 0 + 624 + 2 + 13 + 7 + 15 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 53588341 + ... + 53631359.

It is an arithmetic number, because the mean of its divisors is an integer number (16007707584).

Almost surely, 2^{2306242137150} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2306242137150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3841849820160).

2306242137150 is an abundant number, since it is smaller than the sum of its proper divisors (5377457503170).

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

2306242137150 is a wasteful number, since it uses less digits than its factorization.

2306242137150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43142 (or 43128 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 2306242137150 in words is "two trillion, three hundred six billion, two hundred forty-two million, one hundred thirty-seven thousand, one hundred fifty".