2733306144 has 96 divisors (see below), whose sum is σ = 7462264320. Its totient is φ = 874954752.

The previous prime is 2733306113. The next prime is 2733306151. The reversal of 2733306144 is 4416033372.

It is a tau number, because it is divible by the number of its divisors (96).

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, 534769 + ... + 539855.

It is an arithmetic number, because the mean of its divisors is an integer number (77731920).

Almost surely, 2^2733306144 is an apocalyptic number.

2733306144 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 2733306144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3731132160).

2733306144 is an abundant number, since it is smaller than the sum of its proper divisors (4728958176).

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

2733306144 is a wasteful number, since it uses less digits than its factorization.

2733306144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5322 (or 5314 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The square root of 2733306144 is about 52281.0304412604. The cubic root of 2733306144 is about 1398.1789493012.

The spelling of 2733306144 in words is "two billion, seven hundred thirty-three million, three hundred six thousand, one hundred forty-four".