2000460000 has 480 divisors, whose sum is σ = 8199975168. Its totient is φ = 414720000.

The previous prime is 2000459969. The next prime is 2000460017. The reversal of 2000460000 is 640002.

It is a tau number, because it is divible by the number of its divisors (480).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4619784 + ... + 4620216.

Almost surely, 2^2000460000 is an apocalyptic number.

2000460000 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 2000460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4099987584).

2000460000 is an abundant number, since it is smaller than the sum of its proper divisors (6199515168).

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

2000460000 is a wasteful number, since it uses less digits than its factorization.

2000460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 461 counting only the distinct ones).

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

The square root of 2000460000 is about 44726.5022106581. The cubic root of 2000460000 is about 1260.0176364374.

The spelling of 2000460000 in words is "two billion, four hundred sixty thousand".