2002112064 has 42 divisors (see below), whose sum is σ = 5738694390. Its totient is φ = 667370496.

The previous prime is 2002112053. The next prime is 2002112081. The reversal of 2002112064 is 4602112002.

It can be written as a sum of positive squares in only one way, i.e., 1882865664 + 119246400 = 43392^2 + 10920^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1737369 + ... + 1738520.

Almost surely, 2^2002112064 is an apocalyptic number.

2002112064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2002112064 is an abundant number, since it is smaller than the sum of its proper divisors (3736582326).

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

2002112064 is a wasteful number, since it uses less digits than its factorization.

2002112064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3475907 (or 3475894 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2002112064 is about 44744.9669124920. The cubic root of 2002112064 is about 1260.3643995164.

Adding to 2002112064 its reverse (4602112002), we get a palindrome (6604224066).

The spelling of 2002112064 in words is "two billion, two million, one hundred twelve thousand, sixty-four".