2246041728 has 192 divisors, whose sum is σ = 7425600000. Its totient is φ = 638337024.

The previous prime is 2246041723. The next prime is 2246041753. The reversal of 2246041728 is 8271406422.

2246041728 is a `hidden beast` number, since 2 + 24 + 604 + 1 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 2246041692 and 2246041701.

It is not an unprimeable number, because it can be changed into a prime (2246041723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1797648 + ... + 1798896.

It is an arithmetic number, because the mean of its divisors is an integer number (38675000).

Almost surely, 2^2246041728 is an apocalyptic number.

2246041728 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 2246041728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3712800000).

2246041728 is an abundant number, since it is smaller than the sum of its proper divisors (5179558272).

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

2246041728 is a wasteful number, since it uses less digits than its factorization.

2246041728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2246041728 is about 47392.4226854884. The cubic root of 2246041728 is about 1309.6018307025.

The spelling of 2246041728 in words is "two billion, two hundred forty-six million, forty-one thousand, seven hundred twenty-eight".