2305953672 has 64 divisors (see below), whose sum is σ = 6294240000. Its totient is φ = 698187840.

The previous prime is 2305953667. The next prime is 2305953697. The reversal of 2305953672 is 2763595032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392823 + ... + 398649.

It is an arithmetic number, because the mean of its divisors is an integer number (98347500).

Almost surely, 2^2305953672 is an apocalyptic number.

2305953672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2305953672 is an abundant number, since it is smaller than the sum of its proper divisors (3988286328).

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

2305953672 is a wasteful number, since it uses less digits than its factorization.

2305953672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7346 (or 7342 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 42.

The square root of 2305953672 is about 48020.3464377341. The cubic root of 2305953672 is about 1321.1441090679.

The spelling of 2305953672 in words is "two billion, three hundred five million, nine hundred fifty-three thousand, six hundred seventy-two".