2264040800 has 144 divisors (see below), whose sum is σ = 6394090752. Its totient is φ = 766732800.

The previous prime is 2264040799. The next prime is 2264040809. The reversal of 2264040800 is 80404622.

It is a self number, because there is not a number n which added to its sum of digits gives 2264040800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264040809) 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 23 ways as a sum of consecutive naturals, for example, 462365 + ... + 467235.

It is an arithmetic number, because the mean of its divisors is an integer number (44403408).

Almost surely, 2^2264040800 is an apocalyptic number.

2264040800 is a gapful number since it is divisible by the number (20) 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 2264040800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3197045376).

2264040800 is an abundant number, since it is smaller than the sum of its proper divisors (4130049952).

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

2264040800 is a wasteful number, since it uses less digits than its factorization.

2264040800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4981 (or 4968 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 2264040800 is about 47581.9377495284. The cubic root of 2264040800 is about 1313.0907731989.

The spelling of 2264040800 in words is "two billion, two hundred sixty-four million, forty thousand, eight hundred".