2000508972 has 192 divisors, whose sum is σ = 6079933440. Its totient is φ = 500881920.

The previous prime is 2000508901. The next prime is 2000508997. The reversal of 2000508972 is 2798050002.

It is a super-2 number, since 2×2000508972² = 8004072294104993568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3242008 + ... + 3242624.

It is an arithmetic number, because the mean of its divisors is an integer number (31666320).

Almost surely, 2^2000508972 is an apocalyptic number.

2000508972 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 2000508972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3039966720).

2000508972 is an abundant number, since it is smaller than the sum of its proper divisors (4079424468).

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

2000508972 is a wasteful number, since it uses less digits than its factorization.

2000508972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 2000508972 is about 44727.0496679582. The cubic root of 2000508972 is about 1260.0279182527.

Adding to 2000508972 its reverse (2798050002), we get a palindrome (4798558974).

The spelling of 2000508972 in words is "two billion, five hundred eight thousand, nine hundred seventy-two".