2936248704 has 256 divisors, whose sum is σ = 9304113600. Its totient is φ = 919683072.

The previous prime is 2936248703. The next prime is 2936248717. The reversal of 2936248704 is 4078426392.

It is a self number, because there is not a number n which added to its sum of digits gives 2936248704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2936248703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4758604 + ... + 4759220.

Almost surely, 2^2936248704 is an apocalyptic number.

2936248704 is a gapful number since it is divisible by the number (24) 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 2936248704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4652056800).

2936248704 is an abundant number, since it is smaller than the sum of its proper divisors (6367864896).

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

2936248704 is an frugal number, since it uses more digits than its factorization.

2936248704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2936248704 is about 54187.1636460149. The cubic root of 2936248704 is about 1431.9601957247.

The spelling of 2936248704 in words is "two billion, nine hundred thirty-six million, two hundred forty-eight thousand, seven hundred four".