2128952160 has 288 divisors, whose sum is σ = 7979785632. Its totient is φ = 534159360.

The previous prime is 2128952129. The next prime is 2128952173. The reversal of 2128952160 is 612598212.

2128952160 is a `hidden beast` number, since 2 + 128 + 9 + 521 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 659350 + ... + 662570.

It is an arithmetic number, because the mean of its divisors is an integer number (27707589).

Almost surely, 2^2128952160 is an apocalyptic number.

2128952160 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 2128952160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989892816).

2128952160 is an abundant number, since it is smaller than the sum of its proper divisors (5850833472).

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

2128952160 is a wasteful number, since it uses less digits than its factorization.

2128952160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3268 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2128952160 is about 46140.5695673558. The cubic root of 2128952160 is about 1286.4373304493.

The spelling of 2128952160 in words is "two billion, one hundred twenty-eight million, nine hundred fifty-two thousand, one hundred sixty".