2146747536 has 210 divisors, whose sum is σ = 6485002902. Its totient is φ = 687709440.

The previous prime is 2146747531. The next prime is 2146747543. The reversal of 2146747536 is 6357476412.

2146747536 is a `hidden beast` number, since 2 + 1 + 46 + 74 + 7 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1308992400 + 837755136 = 36180^2 + 28944^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2146747491 and 2146747500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146747531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 32040975 + ... + 32041041.

Almost surely, 2^2146747536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2146747536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242501451).

2146747536 is an abundant number, since it is smaller than the sum of its proper divisors (4338255366).

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

2146747536 is an frugal number, since it uses more digits than its factorization.

2146747536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 113 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 2146747536 is about 46333.0069820641. The cubic root of 2146747536 is about 1290.0117251503.

The spelling of 2146747536 in words is "two billion, one hundred forty-six million, seven hundred forty-seven thousand, five hundred thirty-six".