2146249728 has 528 divisors, whose sum is σ = 7970526720. Its totient is φ = 541458432.

The previous prime is 2146249717. The next prime is 2146249733. The reversal of 2146249728 is 8279426412.

2146249728 is a `hidden beast` number, since 2 + 14 + 624 + 9 + 7 + 2 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20837325 + ... + 20837427.

Almost surely, 2^2146249728 is an apocalyptic number.

2146249728 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 2146249728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3985263360).

2146249728 is an abundant number, since it is smaller than the sum of its proper divisors (5824276992).

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

2146249728 is a wasteful number, since it uses less digits than its factorization.

2146249728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 151 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 2146249728 is about 46327.6346039812. The cubic root of 2146249728 is about 1289.9120040931.

The spelling of 2146249728 in words is "two billion, one hundred forty-six million, two hundred forty-nine thousand, seven hundred twenty-eight".