2953484800 has 360 divisors, whose sum is σ = 9045435564. Its totient is φ = 949616640.

The previous prime is 2953484791. The next prime is 2953484801. The reversal of 2953484800 is 84843592.

It can be written as a sum of positive squares in 6 ways, for example, as 976437504 + 1977047296 = 31248^2 + 44464^2 .

It is not an unprimeable number, because it can be changed into a prime (2953484801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10662262 + ... + 10662538.

Almost surely, 2^2953484800 is an apocalyptic number.

2953484800 is a gapful number since it is divisible by the number (20) 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 2953484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4522717782).

2953484800 is an abundant number, since it is smaller than the sum of its proper divisors (6091950764).

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

2953484800 is a wasteful number, since it uses less digits than its factorization.

2953484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The square root of 2953484800 is about 54345.9731718920. The cubic root of 2953484800 is about 1434.7566511800.

The spelling of 2953484800 in words is "two billion, nine hundred fifty-three million, four hundred eighty-four thousand, eight hundred".