2000402320 has 80 divisors (see below), whose sum is σ = 5415724800. Its totient is φ = 672901632.

The previous prime is 2000402309. The next prime is 2000402333. The reversal of 2000402320 is 232040002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2000402320² = 8003218883722764800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2000402320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4020 + ... + 63379.

It is an arithmetic number, because the mean of its divisors is an integer number (67696560).

Almost surely, 2^2000402320 is an apocalyptic number.

2000402320 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 2000402320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707862400).

2000402320 is an abundant number, since it is smaller than the sum of its proper divisors (3415322480).

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

2000402320 is a wasteful number, since it uses less digits than its factorization.

2000402320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67472 (or 67466 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 2000402320 is about 44725.8573981539. The cubic root of 2000402320 is about 1260.0055261368.

Adding to 2000402320 its reverse (232040002), we get a palindrome (2232442322).

The spelling of 2000402320 in words is "two billion, four hundred two thousand, three hundred twenty".