2285152128 has 256 divisors, whose sum is σ = 7843392000. Its totient is φ = 641433600.

The previous prime is 2285152061. The next prime is 2285152141. The reversal of 2285152128 is 8212515822.

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

It is a junction number, because it is equal to n+sod(n) for n = 2285152092 and 2285152101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1426528 + ... + 1428128.

It is an arithmetic number, because the mean of its divisors is an integer number (30638250).

Almost surely, 2^2285152128 is an apocalyptic number.

2285152128 is a gapful number since it is divisible by the number (28) 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 2285152128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3921696000).

2285152128 is an abundant number, since it is smaller than the sum of its proper divisors (5558239872).

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

2285152128 is a wasteful number, since it uses less digits than its factorization.

2285152128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1672 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 2285152128 is about 47803.2648257418. The cubic root of 2285152128 is about 1317.1595118152.

The spelling of 2285152128 in words is "two billion, two hundred eighty-five million, one hundred fifty-two thousand, one hundred twenty-eight".