2906161920 has 216 divisors, whose sum is σ = 10402938000. Its totient is φ = 748167168.

The previous prime is 2906161897. The next prime is 2906161943. The reversal of 2906161920 is 291616092.

2906161920 is a `hidden beast` number, since 2 + 9 + 0 + 616 + 19 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2906161897) and next prime (2906161943).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329731 + ... + 338429.

It is an arithmetic number, because the mean of its divisors is an integer number (48161750).

Almost surely, 2^2906161920 is an apocalyptic number.

2906161920 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 2906161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5201469000).

2906161920 is an abundant number, since it is smaller than the sum of its proper divisors (7496776080).

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

2906161920 is a wasteful number, since it uses less digits than its factorization.

2906161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8755 (or 8738 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 2906161920 is about 53908.8297034911. The cubic root of 2906161920 is about 1427.0524514493.

The spelling of 2906161920 in words is "two billion, nine hundred six million, one hundred sixty-one thousand, nine hundred twenty".