2001032640 has 336 divisors, whose sum is σ = 7324526880. Its totient is φ = 514252800.

The previous prime is 2001032639. The next prime is 2001032669. The reversal of 2001032640 is 462301002.

It is a happy number.

2001032640 is a `hidden beast` number, since 20 + 0 + 1 + 0 + 3 + 2 + 640 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8302920 + ... + 8303160.

Almost surely, 2^2001032640 is an apocalyptic number.

2001032640 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 2001032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662263440).

2001032640 is an abundant number, since it is smaller than the sum of its proper divisors (5323494240).

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

2001032640 is a wasteful number, since it uses less digits than its factorization.

2001032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2001032640 is about 44732.9033262989. The cubic root of 2001032640 is about 1260.1378533980.

Adding to 2001032640 its reverse (462301002), we get a palindrome (2463333642).

It can be divided in two parts, 20010 and 32640, that added together give a triangular number (52650 = T₃₂₄).

The spelling of 2001032640 in words is "two billion, one million, thirty-two thousand, six hundred forty".