2914320384 has 238 divisors, whose sum is σ = 8882157386. Its totient is φ = 955514880.

The previous prime is 2914320371. The next prime is 2914320389. The reversal of 2914320384 is 4830234192.

It can be written as a sum of positive squares in only one way, i.e., 1719926784 + 1194393600 = 41472^2 + 34560^2 .

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 (2914320389) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 47775714 + ... + 47775774.

Almost surely, 2^2914320384 is an apocalyptic number.

2914320384 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 2914320384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4441078693).

2914320384 is an abundant number, since it is smaller than the sum of its proper divisors (5967837002).

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

2914320384 is an frugal number, since it uses more digits than its factorization.

2914320384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2914320384 is about 53984.4457598668. The cubic root of 2914320384 is about 1428.3865911866.

The spelling of 2914320384 in words is "two billion, nine hundred fourteen million, three hundred twenty thousand, three hundred eighty-four".