2002001310 has 144 divisors (see below), whose sum is σ = 5625260784. Its totient is φ = 493661952.

The previous prime is 2002001299. The next prime is 2002001347. The reversal of 2002001310 is 131002002.

It is a happy number.

It is a super-2 number, since 2×2002001310² = 8016018490483432200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2002001292 and 2002001301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1396354 + ... + 1397786.

It is an arithmetic number, because the mean of its divisors is an integer number (39064311).

Almost surely, 2^2002001310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002001310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812630392).

2002001310 is an abundant number, since it is smaller than the sum of its proper divisors (3623259474).

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

2002001310 is a wasteful number, since it uses less digits than its factorization.

2002001310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2002001310 is about 44743.7292813194. The cubic root of 2002001310 is about 1260.3411585641.

Adding to 2002001310 its reverse (131002002), we get a palindrome (2133003312).

The spelling of 2002001310 in words is "two billion, two million, one thousand, three hundred ten".