2000412960 has 384 divisors, whose sum is σ = 7951716864. Its totient is φ = 411402240.

The previous prime is 2000412949. The next prime is 2000412983. The reversal of 2000412960 is 692140002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2000412960.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1790322 + ... + 1791438.

It is an arithmetic number, because the mean of its divisors is an integer number (20707596).

Almost surely, 2^2000412960 is an apocalyptic number.

2000412960 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 2000412960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3975858432).

2000412960 is an abundant number, since it is smaller than the sum of its proper divisors (5951303904).

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

2000412960 is a wasteful number, since it uses less digits than its factorization.

2000412960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2000412960 is about 44725.9763448491. The cubic root of 2000412960 is about 1260.0077600933.

Adding to 2000412960 its reverse (692140002), we get a palindrome (2692552962).

The spelling of 2000412960 in words is "two billion, four hundred twelve thousand, nine hundred sixty".