2148064152 has 128 divisors (see below), whose sum is σ = 6284544000. Its totient is φ = 605905920.

The previous prime is 2148064151. The next prime is 2148064181. The reversal of 2148064152 is 2514608412.

It is a happy number.

It is a super-2 number, since 2×2148064152² = 9228359202214958208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148064151) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 177924 + ... + 189612.

It is an arithmetic number, because the mean of its divisors is an integer number (49098000).

Almost surely, 2^2148064152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2148064152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3142272000).

2148064152 is an abundant number, since it is smaller than the sum of its proper divisors (4136479848).

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

2148064152 is a wasteful number, since it uses less digits than its factorization.

2148064152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11761 (or 11757 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 2148064152 is about 46347.2129906427. The cubic root of 2148064152 is about 1290.2753958030.

The spelling of 2148064152 in words is "two billion, one hundred forty-eight million, sixty-four thousand, one hundred fifty-two".