2295451968 has 56 divisors (see below), whose sum is σ = 6088440960. Its totient is φ = 763253760.

The previous prime is 2295451933. The next prime is 2295451969. The reversal of 2295451968 is 8691545922.

It is a super-3 number, since 3×2295451968³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2295451968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2295451969) 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 7 ways as a sum of consecutive naturals, for example, 63913 + ... + 93143.

It is an arithmetic number, because the mean of its divisors is an integer number (108722160).

Almost surely, 2^2295451968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2295451968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044220480).

2295451968 is an abundant number, since it is smaller than the sum of its proper divisors (3792988992).

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

2295451968 is a wasteful number, since it uses less digits than its factorization.

2295451968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29655 (or 29645 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 51.

The square root of 2295451968 is about 47910.8752581290. The cubic root of 2295451968 is about 1319.1354853457.

The spelling of 2295451968 in words is "two billion, two hundred ninety-five million, four hundred fifty-one thousand, nine hundred sixty-eight".