2006454120 has 128 divisors (see below), whose sum is σ = 6577251840. Its totient is φ = 485623040.

The previous prime is 2006454119. The next prime is 2006454157. The reversal of 2006454120 is 214546002.

2006454120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1534507 + ... + 1535813.

It is an arithmetic number, because the mean of its divisors is an integer number (51384780).

Almost surely, 2^2006454120 is an apocalyptic number.

2006454120 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 2006454120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288625920).

2006454120 is an abundant number, since it is smaller than the sum of its proper divisors (4570797720).

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

2006454120 is a wasteful number, since it uses less digits than its factorization.

2006454120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2006454120 is about 44793.4606834524. The cubic root of 2006454120 is about 1261.2748749204.

The spelling of 2006454120 in words is "two billion, six million, four hundred fifty-four thousand, one hundred twenty".