2338289760 has 96 divisors (see below), whose sum is σ = 7441695072. Its totient is φ = 617103360.

The previous prime is 2338289747. The next prime is 2338289761. The reversal of 2338289760 is 679828332.

It is a happy number.

2338289760 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 tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2338289761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21450 + ... + 71670.

It is an arithmetic number, because the mean of its divisors is an integer number (77517657).

Almost surely, 2^2338289760 is an apocalyptic number.

2338289760 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 2338289760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720847536).

2338289760 is an abundant number, since it is smaller than the sum of its proper divisors (5103405312).

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

2338289760 is a wasteful number, since it uses less digits than its factorization.

2338289760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50336 (or 50328 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 2338289760 is about 48355.8658282529. The cubic root of 2338289760 is about 1327.2908767940.

The spelling of 2338289760 in words is "two billion, three hundred thirty-eight million, two hundred eighty-nine thousand, seven hundred sixty".