2385427344300 has 3240 divisors, whose sum is σ = 11003674750992. Its totient is φ = 441552384000.

The previous prime is 2385427344271. The next prime is 2385427344379. The reversal of 2385427344300 is 34437245832.

2385427344300 is a `hidden beast` number, since 2 + 3 + 8 + 542 + 73 + 4 + 4 + 30 + 0 = 666.

2385427344300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2385427344300² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 1079 ways as a sum of consecutive naturals, for example, 39105366270 + ... + 39105366330.

Almost surely, 2^{2385427344300} is an apocalyptic number.

2385427344300 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 2385427344300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5501837375496).

2385427344300 is an abundant number, since it is smaller than the sum of its proper divisors (8618247406692).

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

2385427344300 is a wasteful number, since it uses less digits than its factorization.

2385427344300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 2385427344300 in words is "two trillion, three hundred eighty-five billion, four hundred twenty-seven million, three hundred forty-four thousand, three hundred".