2451968311 has 8 divisors (see below), whose sum is σ = 2676754640. Its totient is φ = 2232349632.

The previous prime is 2451968279. The next prime is 2451968329. The reversal of 2451968311 is 1138691542.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2451968311 - 2⁵ = 2451968279 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2451968341) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1290921 + ... + 1292818.

It is an arithmetic number, because the mean of its divisors is an integer number (334594330).

Almost surely, 2^2451968311 is an apocalyptic number.

2451968311 is a deficient number, since it is larger than the sum of its proper divisors (224786329).

2451968311 is a wasteful number, since it uses less digits than its factorization.

2451968311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583825.

The product of its digits is 51840, while the sum is 40.

The square root of 2451968311 is about 49517.3536348622. The cubic root of 2451968311 is about 1348.4606708796.

The spelling of 2451968311 in words is "two billion, four hundred fifty-one million, nine hundred sixty-eight thousand, three hundred eleven".