2328641536 has 135 divisors (see below), whose sum is σ = 5222830431. Its totient is φ = 1037697024.

The previous prime is 2328641489. The next prime is 2328641537. The reversal of 2328641536 is 6351468232.

The square root of 2328641536 is 48256.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 298598400 + 2030043136 = 17280^2 + 45056^2 .

It is not an unprimeable number, because it can be changed into a prime (2328641537) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 80297970 + ... + 80297998.

Almost surely, 2^2328641536 is an apocalyptic number.

2328641536 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2328641536 is the 48256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2328641536

2328641536 is an abundant number, since it is smaller than the sum of its proper divisors (2894188895).

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

2328641536 is an frugal number, since it uses more digits than its factorization.

2328641536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 44 counting only the distinct ones).

The product of its digits is 207360, while the sum is 40.

The cubic root of 2328641536 is about 1325.4628094430.

The spelling of 2328641536 in words is "two billion, three hundred twenty-eight million, six hundred forty-one thousand, five hundred thirty-six".