2940982400 has 192 divisors, whose sum is σ = 7831641600. Its totient is φ = 1088102400.

The previous prime is 2940982379. The next prime is 2940982403. The reversal of 2940982400 is 42890492.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2940982403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2280956 + ... + 2282244.

It is an arithmetic number, because the mean of its divisors is an integer number (40789800).

Almost surely, 2^2940982400 is an apocalyptic number.

2940982400 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 2940982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3915820800).

2940982400 is an abundant number, since it is smaller than the sum of its proper divisors (4890659200).

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

2940982400 is a wasteful number, since it uses less digits than its factorization.

2940982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 2940982400 is about 54230.8251827316. The cubic root of 2940982400 is about 1432.7292977936.

The spelling of 2940982400 in words is "two billion, nine hundred forty million, nine hundred eighty-two thousand, four hundred".