2128033440 has 576 divisors, whose sum is σ = 8541711360. Its totient is φ = 477757440.

The previous prime is 2128033423. The next prime is 2128033469. The reversal of 2128033440 is 443308212.

2128033440 is a `hidden beast` number, since 212 + 8 + 0 + 3 + 3 + 440 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11025984 + ... + 11026176.

It is an arithmetic number, because the mean of its divisors is an integer number (14829360).

Almost surely, 2^2128033440 is an apocalyptic number.

2128033440 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 2128033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4270855680).

2128033440 is an abundant number, since it is smaller than the sum of its proper divisors (6413677920).

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

2128033440 is a wasteful number, since it uses less digits than its factorization.

2128033440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2128033440 is about 46130.6128292265. The cubic root of 2128033440 is about 1286.2522557172.

The spelling of 2128033440 in words is "two billion, one hundred twenty-eight million, thirty-three thousand, four hundred forty".