2002621768 has 48 divisors (see below), whose sum is σ = 4372883820. Its totient is φ = 857299968.

The previous prime is 2002621739. The next prime is 2002621769. The reversal of 2002621768 is 8671262002.

It can be written as a sum of positive squares in 2 ways, for example, as 1795894884 + 206726884 = 42378^2 + 14378^2 .

It is not an unprimeable number, because it can be changed into a prime (2002621769) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 427696 + ... + 432352.

Almost surely, 2^2002621768 is an apocalyptic number.

2002621768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2002621768 is an abundant number, since it is smaller than the sum of its proper divisors (2370262052).

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

2002621768 is a wasteful number, since it uses less digits than its factorization.

2002621768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5774 (or 5763 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 2002621768 is about 44750.6622073909. The cubic root of 2002621768 is about 1260.4713462885.

The spelling of 2002621768 in words is "two billion, two million, six hundred twenty-one thousand, seven hundred sixty-eight".