2128402584 has 288 divisors, whose sum is σ = 7670950560. Its totient is φ = 520058880.

The previous prime is 2128402547. The next prime is 2128402603. The reversal of 2128402584 is 4852048212.

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 71 ways as a sum of consecutive naturals, for example, 1035702 + ... + 1037754.

It is an arithmetic number, because the mean of its divisors is an integer number (26635245).

Almost surely, 2^2128402584 is an apocalyptic number.

2128402584 is a gapful number since it is divisible by the number (24) 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 2128402584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3835475280).

2128402584 is an abundant number, since it is smaller than the sum of its proper divisors (5542547976).

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

2128402584 is a wasteful number, since it uses less digits than its factorization.

2128402584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 2128402584 is about 46134.6137298233. The cubic root of 2128402584 is about 1286.3266256090.

The spelling of 2128402584 in words is "two billion, one hundred twenty-eight million, four hundred two thousand, five hundred eighty-four".