2046256128 has 352 divisors, whose sum is σ = 7061331200. Its totient is φ = 573308928.

The previous prime is 2046256127. The next prime is 2046256133. The reversal of 2046256128 is 8216526402.

It is a happy number.

2046256128 is a `hidden beast` number, since 2 + 0 + 4 + 625 + 6 + 1 + 28 = 666.

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 = 2046256092 and 2046256101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2046256127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18772938 + ... + 18773046.

It is an arithmetic number, because the mean of its divisors is an integer number (20060600).

Almost surely, 2^2046256128 is an apocalyptic number.

2046256128 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 2046256128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3530665600).

2046256128 is an abundant number, since it is smaller than the sum of its proper divisors (5015075072).

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

2046256128 is a wasteful number, since it uses less digits than its factorization.

2046256128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2046256128 is about 45235.5626471032. The cubic root of 2046256128 is about 1269.5602933541.

The spelling of 2046256128 in words is "two billion, forty-six million, two hundred fifty-six thousand, one hundred twenty-eight".