2148928320 has 336 divisors, whose sum is σ = 8660392128. Its totient is φ = 446423040.

The previous prime is 2148928307. The next prime is 2148928343. The reversal of 2148928320 is 238298412.

It is a tau number, because it is divible by the number of its divisors (336).

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, 515364 + ... + 519516.

Almost surely, 2^2148928320 is an apocalyptic number.

2148928320 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 2148928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4330196064).

2148928320 is an abundant number, since it is smaller than the sum of its proper divisors (6511463808).

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

2148928320 is a wasteful number, since it uses less digits than its factorization.

2148928320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4198 (or 4181 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 2148928320 is about 46356.5348144142. The cubic root of 2148928320 is about 1290.4483988946.

The spelling of 2148928320 in words is "two billion, one hundred forty-eight million, nine hundred twenty-eight thousand, three hundred twenty".