2302138080 has 576 divisors, whose sum is σ = 9170703360. Its totient is φ = 520396800.

The previous prime is 2302138061. The next prime is 2302138081. The reversal of 2302138080 is 808312032.

2302138080 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 (2302138081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25866676 + ... + 25866764.

It is an arithmetic number, because the mean of its divisors is an integer number (15921360).

Almost surely, 2^2302138080 is an apocalyptic number.

2302138080 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 2302138080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4585351680).

2302138080 is an abundant number, since it is smaller than the sum of its proper divisors (6868565280).

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

2302138080 is a wasteful number, since it uses less digits than its factorization.

2302138080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2302138080 is about 47980.6010800198. The cubic root of 2302138080 is about 1320.4150210148.

The spelling of 2302138080 in words is "two billion, three hundred two million, one hundred thirty-eight thousand, eighty".