2000512440 has 96 divisors (see below), whose sum is σ = 6590815920. Its totient is φ = 526155264.

The previous prime is 2000512433. The next prime is 2000512441. The reversal of 2000512440 is 442150002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000512441) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11782 + ... + 64341.

Almost surely, 2^2000512440 is an apocalyptic number.

2000512440 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 2000512440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3295407960).

2000512440 is an abundant number, since it is smaller than the sum of its proper divisors (4590303480).

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

2000512440 is a wasteful number, since it uses less digits than its factorization.

2000512440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76213 (or 76206 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2000512440 is about 44727.0884364274. The cubic root of 2000512440 is about 1260.0286463631.

Adding to 2000512440 its reverse (442150002), we get a palindrome (2442662442).

The spelling of 2000512440 in words is "two billion, five hundred twelve thousand, four hundred forty".