2934144000 has 440 divisors, whose sum is σ = 10973524848. Its totient is φ = 779673600.

The previous prime is 2934143987. The next prime is 2934144007. The reversal of 2934144000 is 4414392.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2934144007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10367859 + ... + 10368141.

Almost surely, 2^2934144000 is an apocalyptic number.

2934144000 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 2934144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486762424).

2934144000 is an abundant number, since it is smaller than the sum of its proper divisors (8039380848).

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

2934144000 is an equidigital number, since it uses as much as digits as its factorization.

2934144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2934144000 is about 54167.7394765556. The cubic root of 2934144000 is about 1431.6179707689.

Adding to 2934144000 its reverse (4414392), we get a palindrome (2938558392).

The spelling of 2934144000 in words is "two billion, nine hundred thirty-four million, one hundred forty-four thousand".