2953134080 has 240 divisors, whose sum is σ = 7926992640. Its totient is φ = 1049100288.

The previous prime is 2953134053. The next prime is 2953134113. The reversal of 2953134080 is 804313592.

It is a self number, because there is not a number n which added to its sum of digits gives 2953134080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50053091 + ... + 50053149.

It is an arithmetic number, because the mean of its divisors is an integer number (33029136).

Almost surely, 2^2953134080 is an apocalyptic number.

2953134080 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 2953134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3963496320).

2953134080 is an abundant number, since it is smaller than the sum of its proper divisors (4973858560).

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

2953134080 is an equidigital number, since it uses as much as digits as its factorization.

2953134080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 2953134080 is about 54342.7463420832. The cubic root of 2953134080 is about 1434.6998575045.

The spelling of 2953134080 in words is "two billion, nine hundred fifty-three million, one hundred thirty-four thousand, eighty".