2128364820 has 144 divisors (see below), whose sum is σ = 6630361920. Its totient is φ = 552434688.

The previous prime is 2128364809. The next prime is 2128364837. The reversal of 2128364820 is 284638212.

2128364820 is a `hidden beast` number, since 2 + 1 + 2 + 8 + 3 + 648 + 2 + 0 = 666.

It is a super-3 number, since 3×2128364820³ (a number of 29 digits) contains 333 as substring.

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, 1135404 + ... + 1137276.

It is an arithmetic number, because the mean of its divisors is an integer number (46044180).

Almost surely, 2^2128364820 is an apocalyptic number.

2128364820 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 2128364820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3315180960).

2128364820 is an abundant number, since it is smaller than the sum of its proper divisors (4501997100).

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

2128364820 is a wasteful number, since it uses less digits than its factorization.

2128364820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2128364820 is about 46134.2044474596. The cubic root of 2128364820 is about 1286.3190178494.

The spelling of 2128364820 in words is "two billion, one hundred twenty-eight million, three hundred sixty-four thousand, eight hundred twenty".