2938320000 has 960 divisors, whose sum is σ = 13421453760. Its totient is φ = 599040000.

The previous prime is 2938319963. The next prime is 2938320013. The reversal of 2938320000 is 238392.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 55439974 + ... + 55440026.

It is an arithmetic number, because the mean of its divisors is an integer number (13980681).

Almost surely, 2^2938320000 is an apocalyptic number.

2938320000 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 2938320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6710726880).

2938320000 is an abundant number, since it is smaller than the sum of its proper divisors (10483133760).

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

2938320000 is a wasteful number, since it uses less digits than its factorization.

2938320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2938320000 is about 54206.2726997531. The cubic root of 2938320000 is about 1432.2968289107.

Adding to 2938320000 its reverse (238392), we get a palindrome (2938558392).

The spelling of 2938320000 in words is "two billion, nine hundred thirty-eight million, three hundred twenty thousand".