2301461600 has 36 divisors (see below), whose sum is σ = 5618445084. Its totient is φ = 920584320.

The previous prime is 2301461593. The next prime is 2301461629. The reversal of 2301461600 is 61641032.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1437614 + ... + 1439213.

It is an arithmetic number, because the mean of its divisors is an integer number (156067919).

Almost surely, 2^2301461600 is an apocalyptic number.

2301461600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2301461600 is an abundant number, since it is smaller than the sum of its proper divisors (3316983484).

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

2301461600 is a wasteful number, since it uses less digits than its factorization.

2301461600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876847 (or 2876834 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 2301461600 is about 47973.5510463839. The cubic root of 2301461600 is about 1320.2856743193.

The spelling of 2301461600 in words is "two billion, three hundred one million, four hundred sixty-one thousand, six hundred".