2000464620 has 384 divisors, whose sum is σ = 7315660800. Its totient is φ = 396441600.

The previous prime is 2000464591. The next prime is 2000464621. The reversal of 2000464620 is 264640002.

It is not an unprimeable number, because it can be changed into a prime (2000464621) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 11175691 + ... + 11175869.

It is an arithmetic number, because the mean of its divisors is an integer number (19051200).

Almost surely, 2^2000464620 is an apocalyptic number.

2000464620 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 2000464620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3657830400).

2000464620 is an abundant number, since it is smaller than the sum of its proper divisors (5315196180).

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

2000464620 is a wasteful number, since it uses less digits than its factorization.

2000464620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2000464620 is about 44726.5538578594. The cubic root of 2000464620 is about 1260.0186064272.

The spelling of 2000464620 in words is "two billion, four hundred sixty-four thousand, six hundred twenty".