2290513536 has 192 divisors, whose sum is σ = 6983776800. Its totient is φ = 718571520.

The previous prime is 2290513531. The next prime is 2290513543. The reversal of 2290513536 is 6353150922.

2290513536 is a `hidden beast` number, since 2 + 2 + 90 + 513 + 53 + 6 = 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 self number, because there is not a number n which added to its sum of digits gives 2290513536.

It is not an unprimeable number, because it can be changed into a prime (2290513531) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4968346 + ... + 4968806.

Almost surely, 2^2290513536 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 2290513536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491888400).

2290513536 is an abundant number, since it is smaller than the sum of its proper divisors (4693263264).

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

2290513536 is a wasteful number, since it uses less digits than its factorization.

2290513536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 2290513536 is about 47859.3098153327. The cubic root of 2290513536 is about 1318.1888107460.

The spelling of 2290513536 in words is "two billion, two hundred ninety million, five hundred thirteen thousand, five hundred thirty-six".