2301382980 has 288 divisors, whose sum is σ = 8133216000. Its totient is φ = 521800704.

The previous prime is 2301382949. The next prime is 2301382981. The reversal of 2301382980 is 892831032.

It is a happy number.

2301382980 is a `hidden beast` number, since 230 + 138 + 298 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2301382981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1644321 + ... + 1645719.

Almost surely, 2^2301382980 is an apocalyptic number.

2301382980 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 2301382980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4066608000).

2301382980 is an abundant number, since it is smaller than the sum of its proper divisors (5831833020).

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

2301382980 is a wasteful number, since it uses less digits than its factorization.

2301382980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2301382980 is about 47972.7316295414. The cubic root of 2301382980 is about 1320.2706400991.

The spelling of 2301382980 in words is "two billion, three hundred one million, three hundred eighty-two thousand, nine hundred eighty".