2906016120 has 192 divisors, whose sum is σ = 10942326720. Its totient is φ = 655091712.

The previous prime is 2906016119. The next prime is 2906016131. The reversal of 2906016120 is 216106092.

2906016120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176062 + ... + 191858.

It is an arithmetic number, because the mean of its divisors is an integer number (56991285).

Almost surely, 2^2906016120 is an apocalyptic number.

2906016120 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 2906016120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5471163360).

2906016120 is an abundant number, since it is smaller than the sum of its proper divisors (8036310600).

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

2906016120 is a wasteful number, since it uses less digits than its factorization.

2906016120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15894 (or 15887 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2906016120 is about 53907.4774034178. The cubic root of 2906016120 is about 1427.0285863273.

The spelling of 2906016120 in words is "two billion, nine hundred six million, sixteen thousand, one hundred twenty".