2005630120032 has 768 divisors, whose sum is σ = 6812970393600. Its totient is φ = 501665218560.

The previous prime is 2005630119989. The next prime is 2005630120049. The reversal of 2005630120032 is 2300210365002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2005630119984 and 2005630120011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6326908738 + ... + 6326909054.

It is an arithmetic number, because the mean of its divisors is an integer number (8871055200).

Almost surely, 2^{2005630120032} is an apocalyptic number.

2005630120032 is a gapful number since it is divisible by the number (22) 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 2005630120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3406485196800).

2005630120032 is an abundant number, since it is smaller than the sum of its proper divisors (4807340273568).

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

2005630120032 is a wasteful number, since it uses less digits than its factorization.

2005630120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 2005630120032 its reverse (2300210365002), we get a palindrome (4305840485034).

The spelling of 2005630120032 in words is "two trillion, five billion, six hundred thirty million, one hundred twenty thousand, thirty-two".