2002084200 has 72 divisors (see below), whose sum is σ = 6723672150. Its totient is φ = 533888640.

The previous prime is 2002084187. The next prime is 2002084211. The reversal of 2002084200 is 24802002.

It can be written as a sum of positive squares in 3 ways, for example, as 1433833956 + 568250244 = 37866^2 + 23838^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2002084200² = 8016682287779280000, which contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 554335 + ... + 557934.

Almost surely, 2^2002084200 is an apocalyptic number.

2002084200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002084200 is an abundant number, since it is smaller than the sum of its proper divisors (4721587950).

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

2002084200 is a wasteful number, since it uses less digits than its factorization.

2002084200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112291 (or 1112279 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2002084200 is about 44744.6555467801. The cubic root of 2002084200 is about 1260.3585525316.

Adding to 2002084200 its reverse (24802002), we get a palindrome (2026886202).

The spelling of 2002084200 in words is "two billion, two million, eighty-four thousand, two hundred".