2005154334300 has 144 divisors (see below), whose sum is σ = 6251748300000. Its totient is φ = 493268904960.

The previous prime is 2005154334257. The next prime is 2005154334343. The reversal of 2005154334300 is 34334515002.

It is an interprime number because it is at equal distance from previous prime (2005154334257) and next prime (2005154334343).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6131326 + ... + 6450074.

It is an arithmetic number, because the mean of its divisors is an integer number (43414918750).

Almost surely, 2^{2005154334300} is an apocalyptic number.

2005154334300 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 2005154334300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125874150000).

2005154334300 is an abundant number, since it is smaller than the sum of its proper divisors (4246593965700).

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

2005154334300 is a wasteful number, since it uses less digits than its factorization.

2005154334300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320392 (or 320385 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 2005154334300 its reverse (34334515002), we get a palindrome (2039488849302).

The spelling of 2005154334300 in words is "two trillion, five billion, one hundred fifty-four million, three hundred thirty-four thousand, three hundred".