2000632320 has 240 divisors, whose sum is σ = 7032085632. Its totient is φ = 525557760.

The previous prime is 2000632313. The next prime is 2000632327. The reversal of 2000632320 is 232360002.

2000632320 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 632 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2000632313) and next prime (2000632327).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 2000632293 and 2000632302.

It is not an unprimeable number, because it can be changed into a prime (2000632327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1635229 + ... + 1636451.

Almost surely, 2^2000632320 is an apocalyptic number.

2000632320 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 2000632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3516042816).

2000632320 is an abundant number, since it is smaller than the sum of its proper divisors (5031453312).

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

2000632320 is a wasteful number, since it uses less digits than its factorization.

2000632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2000632320 is about 44728.4285438243. The cubic root of 2000632320 is about 1260.0538147839.

Adding to 2000632320 its reverse (232360002), we get a palindrome (2232992322).

It can be divided in two parts, 20006 and 32320, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 2000632320 in words is "two billion, six hundred thirty-two thousand, three hundred twenty".