2002062000 has 160 divisors (see below), whose sum is σ = 6492155904. Its totient is φ = 530784000.

The previous prime is 2002061981. The next prime is 2002062017. The reversal of 2002062000 is 2602002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1145127 + ... + 1146873.

Almost surely, 2^2002062000 is an apocalyptic number.

2002062000 is a gapful number since it is divisible by the number (20) 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 2002062000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3246077952).

2002062000 is an abundant number, since it is smaller than the sum of its proper divisors (4490093904).

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

2002062000 is a wasteful number, since it uses less digits than its factorization.

2002062000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2002062000 is about 44744.4074717724. The cubic root of 2002062000 is about 1260.3538940423.

Adding to 2002062000 its reverse (2602002), we get a palindrome (2004664002).

The spelling of 2002062000 in words is "two billion, two million, sixty-two thousand", and thus it is an eban number.