2953273344 has 112 divisors (see below), whose sum is σ = 9000427008. Its totient is φ = 843743232.

The previous prime is 2953273333. The next prime is 2953273357. The reversal of 2953273344 is 4433723592.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2953273296 and 2953273305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163449 + ... + 180615.

Almost surely, 2^2953273344 is an apocalyptic number.

2953273344 is a gapful number since it is divisible by the number (24) 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 2953273344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4500213504).

2953273344 is an abundant number, since it is smaller than the sum of its proper divisors (6047153664).

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

2953273344 is an equidigital number, since it uses as much as digits as its factorization.

2953273344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17203 (or 17179 counting only the distinct ones).

The product of its digits is 544320, while the sum is 42.

The square root of 2953273344 is about 54344.0276755413. The cubic root of 2953273344 is about 1434.7224096919.

The spelling of 2953273344 in words is "two billion, nine hundred fifty-three million, two hundred seventy-three thousand, three hundred forty-four".