2264368920 has 256 divisors, whose sum is σ = 7729966080. Its totient is φ = 525772800.

The previous prime is 2264368879. The next prime is 2264368927. The reversal of 2264368920 is 298634622.

2264368920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264368927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3467314 + ... + 3467966.

It is an arithmetic number, because the mean of its divisors is an integer number (30195180).

Almost surely, 2^2264368920 is an apocalyptic number.

2264368920 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 2264368920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864983040).

2264368920 is an abundant number, since it is smaller than the sum of its proper divisors (5465597160).

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

2264368920 is a wasteful number, since it uses less digits than its factorization.

2264368920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 2264368920 is about 47585.3855716227. The cubic root of 2264368920 is about 1313.1542041130.

The spelling of 2264368920 in words is "two billion, two hundred sixty-four million, three hundred sixty-eight thousand, nine hundred twenty".