2953183968 has 192 divisors, whose sum is σ = 10423365120. Its totient is φ = 794105856.

The previous prime is 2953183963. The next prime is 2953183997. The reversal of 2953183968 is 8693813592.

2953183968 is a `hidden beast` number, since 29 + 531 + 83 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2953183963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88455 + ... + 117177.

It is an arithmetic number, because the mean of its divisors is an integer number (54288360).

Almost surely, 2^2953183968 is an apocalyptic number.

2953183968 is a gapful number since it is divisible by the number (28) 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 2953183968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5211682560).

2953183968 is an abundant number, since it is smaller than the sum of its proper divisors (7470181152).

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

2953183968 is a wasteful number, since it uses less digits than its factorization.

2953183968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28766 (or 28752 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 2953183968 is about 54343.2053526474. The cubic root of 2953183968 is about 1434.7079363682.

The spelling of 2953183968 in words is "two billion, nine hundred fifty-three million, one hundred eighty-three thousand, nine hundred sixty-eight".