2146527072 has 72 divisors (see below), whose sum is σ = 6369605424. Its totient is φ = 684397824.

The previous prime is 2146527059. The next prime is 2146527073. The reversal of 2146527072 is 2707256412.

It is a happy number.

2146527072 is a `hidden beast` number, since 21 + 46 + 527 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146527073) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 155403 + ... + 168650.

It is an arithmetic number, because the mean of its divisors is an integer number (88466742).

Almost surely, 2^2146527072 is an apocalyptic number.

It is an amenable number.

2146527072 is an abundant number, since it is smaller than the sum of its proper divisors (4223078352).

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

2146527072 is a wasteful number, since it uses less digits than its factorization.

2146527072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324092 (or 324081 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2146527072 is about 46330.6277963077. The cubic root of 2146527072 is about 1289.9675636337.

The spelling of 2146527072 in words is "two billion, one hundred forty-six million, five hundred twenty-seven thousand, seventy-two".