2002568832 has 224 divisors, whose sum is σ = 6528620160. Its totient is φ = 606528000.

The previous prime is 2002568779. The next prime is 2002568849. The reversal of 2002568832 is 2388652002.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1025457 + ... + 1027407.

Almost surely, 2^2002568832 is an apocalyptic number.

2002568832 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 2002568832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3264310080).

2002568832 is an abundant number, since it is smaller than the sum of its proper divisors (4526051328).

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

2002568832 is an equidigital number, since it uses as much as digits as its factorization.

2002568832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2002568832 is about 44750.0707485474. The cubic root of 2002568832 is about 1260.4602400310.

The spelling of 2002568832 in words is "two billion, two million, five hundred sixty-eight thousand, eight hundred thirty-two".