2733312384 has 128 divisors (see below), whose sum is σ = 8800560000. Its totient is φ = 828264960.

The previous prime is 2733312383. The next prime is 2733312391. The reversal of 2733312384 is 4832133372.

2733312384 is a `hidden beast` number, since 273 + 3 + 3 + 1 + 2 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2733312383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2067 + ... + 73965.

It is an arithmetic number, because the mean of its divisors is an integer number (68754375).

Almost surely, 2^2733312384 is an apocalyptic number.

2733312384 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 2733312384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4400280000).

2733312384 is an abundant number, since it is smaller than the sum of its proper divisors (6067247616).

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

2733312384 is a wasteful number, since it uses less digits than its factorization.

2733312384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71933 (or 71915 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 2733312384 is about 52281.0901187035. The cubic root of 2733312384 is about 1398.1800132911.

The spelling of 2733312384 in words is "two billion, seven hundred thirty-three million, three hundred twelve thousand, three hundred eighty-four".