2000512312224 has 192 divisors, whose sum is σ = 5562687836160. Its totient is φ = 627753369600.

The previous prime is 2000512312157. The next prime is 2000512312283. The reversal of 2000512312224 is 4222132150002.

It is a super-2 number, since 2×2000512312224² (a number of 25 digits) contains 22 as substring.

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 = 2000512312194 and 2000512312203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369982929 + ... + 369988335.

It is an arithmetic number, because the mean of its divisors is an integer number (28972332480).

Almost surely, 2^{2000512312224} is an apocalyptic number.

2000512312224 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 2000512312224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781343918080).

2000512312224 is an abundant number, since it is smaller than the sum of its proper divisors (3562175523936).

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

2000512312224 is a wasteful number, since it uses less digits than its factorization.

2000512312224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6683 (or 6675 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 2000512312224 its reverse (4222132150002), we get a palindrome (6222644462226).

The spelling of 2000512312224 in words is "two trillion, five hundred twelve million, three hundred twelve thousand, two hundred twenty-four".