2146651920 has 480 divisors, whose sum is σ = 8983353600. Its totient is φ = 448229376.

The previous prime is 2146651909. The next prime is 2146651963. The reversal of 2146651920 is 291566412.

2146651920 is a `hidden beast` number, since 2 + 1 + 466 + 5 + 192 + 0 = 666.

It is a super-2 number, since 2×2146651920² = 9216228931279372800, which contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2776654 + ... + 2777426.

It is an arithmetic number, because the mean of its divisors is an integer number (18715320).

Almost surely, 2^2146651920 is an apocalyptic number.

2146651920 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 2146651920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4491676800).

2146651920 is an abundant number, since it is smaller than the sum of its proper divisors (6836701680).

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

2146651920 is a wasteful number, since it uses less digits than its factorization.

2146651920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2146651920 is about 46331.9751359685. The cubic root of 2146651920 is about 1289.9925725190.

The spelling of 2146651920 in words is "two billion, one hundred forty-six million, six hundred fifty-one thousand, nine hundred twenty".