2340030125664 has 1536 divisors, whose sum is σ = 9077271920640. Its totient is φ = 568995840000.

The previous prime is 2340030125603. The next prime is 2340030125669. The reversal of 2340030125664 is 4665210300432.

2340030125664 is a `hidden beast` number, since 2 + 3 + 40 + 0 + 301 + 256 + 64 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2340030125669) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8327509204 + ... + 8327509484.

It is an arithmetic number, because the mean of its divisors is an integer number (5909682240).

Almost surely, 2^{2340030125664} is an apocalyptic number.

2340030125664 is a gapful number since it is divisible by the number (24) 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 2340030125664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4538635960320).

2340030125664 is an abundant number, since it is smaller than the sum of its proper divisors (6737241794976).

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

2340030125664 is a wasteful number, since it uses less digits than its factorization.

2340030125664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 2340030125664 in words is "two trillion, three hundred forty billion, thirty million, one hundred twenty-five thousand, six hundred sixty-four".