2940084000 has 384 divisors, whose sum is σ = 12233894400. Its totient is φ = 671846400.

The previous prime is 2940083981. The next prime is 2940084001. The reversal of 2940084000 is 4800492.

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 (2940084001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 754056 + ... + 757944.

It is an arithmetic number, because the mean of its divisors is an integer number (31859100).

Almost surely, 2^2940084000 is an apocalyptic number.

2940084000 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 2940084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6116947200).

2940084000 is an abundant number, since it is smaller than the sum of its proper divisors (9293810400).

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

2940084000 is a wasteful number, since it uses less digits than its factorization.

2940084000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3930 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2940084000 is about 54222.5414380403. The cubic root of 2940084000 is about 1432.5833947228.

Adding to 2940084000 its reverse (4800492), we get a palindrome (2944884492).

The spelling of 2940084000 in words is "two billion, nine hundred forty million, eighty-four thousand".