2953144656 has 400 divisors, whose sum is σ = 10798558848. Its totient is φ = 756864000.

The previous prime is 2953144633. The next prime is 2953144657. The reversal of 2953144656 is 6564413592.

2953144656 is a `hidden beast` number, since 29 + 531 + 4 + 46 + 56 = 666.

It is a super-2 number, since 2×2953144656² = 17442126718522716672, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (777600) is a multiple of the sum of its prime factors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2953144657) 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 79 ways as a sum of consecutive naturals, for example, 10078846 + ... + 10079138.

Almost surely, 2^2953144656 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 2953144656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5399279424).

2953144656 is an abundant number, since it is smaller than the sum of its proper divisors (7845414192).

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

2953144656 is a wasteful number, since it uses less digits than its factorization.

2953144656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 417 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 2953144656 is about 54342.8436502912. The cubic root of 2953144656 is about 1434.7015701897.

The spelling of 2953144656 in words is "two billion, nine hundred fifty-three million, one hundred forty-four thousand, six hundred fifty-six".