2305042380 has 384 divisors, whose sum is σ = 7999488000. Its totient is φ = 548674560.

The previous prime is 2305042373. The next prime is 2305042381. The reversal of 2305042380 is 832405032.

2305042380 is a `hidden beast` number, since 230 + 5 + 0 + 423 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2305042381) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18149877 + ... + 18150003.

It is an arithmetic number, because the mean of its divisors is an integer number (20832000).

Almost surely, 2^2305042380 is an apocalyptic number.

2305042380 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 2305042380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3999744000).

2305042380 is an abundant number, since it is smaller than the sum of its proper divisors (5694445620).

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

2305042380 is a wasteful number, since it uses less digits than its factorization.

2305042380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2305042380 is about 48010.8568971644. The cubic root of 2305042380 is about 1320.9700514096.

The spelling of 2305042380 in words is "two billion, three hundred five million, forty-two thousand, three hundred eighty".