2953484352 has 504 divisors, whose sum is σ = 10951967936. Its totient is φ = 740855808.

The previous prime is 2953484329. The next prime is 2953484353. The reversal of 2953484352 is 2534843592.

2953484352 is a `hidden beast` number, since 2 + 9 + 534 + 84 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 2953484298 and 2953484307.

It is not an unprimeable number, because it can be changed into a prime (2953484353) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44081823 + ... + 44081889.

Almost surely, 2^2953484352 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 2953484352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5475983968).

2953484352 is an abundant number, since it is smaller than the sum of its proper divisors (7998483584).

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

2953484352 is a wasteful number, since it uses less digits than its factorization.

2953484352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 121 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 2953484352 is about 54345.9690501513. The cubic root of 2953484352 is about 1434.7565786362.

The spelling of 2953484352 in words is "two billion, nine hundred fifty-three million, four hundred eighty-four thousand, three hundred fifty-two".