2002051632 has 80 divisors (see below), whose sum is σ = 5982117120. Its totient is φ = 565115136.

The previous prime is 2002051559. The next prime is 2002051633. The reversal of 2002051632 is 2361502002.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2002051599 and 2002051608.

It is not an unprimeable number, because it can be changed into a prime (2002051633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8007 + ... + 63782.

It is an arithmetic number, because the mean of its divisors is an integer number (74776464).

Almost surely, 2^2002051632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002051632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2991058560).

2002051632 is an abundant number, since it is smaller than the sum of its proper divisors (3980065488).

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

2002051632 is a wasteful number, since it uses less digits than its factorization.

2002051632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71890 (or 71884 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2002051632 is about 44744.2916135679. The cubic root of 2002051632 is about 1260.3517183901.

Adding to 2002051632 its reverse (2361502002), we get a palindrome (4363553634).

The spelling of 2002051632 in words is "two billion, two million, fifty-one thousand, six hundred thirty-two".