2938752000 has 264 divisors, whose sum is σ = 10594158432. Its totient is φ = 783360000.

The previous prime is 2938751999. The next prime is 2938752007. The reversal of 2938752000 is 2578392.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2938752007) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1150725 + ... + 1153275.

It is an arithmetic number, because the mean of its divisors is an integer number (40129388).

Almost surely, 2^2938752000 is an apocalyptic number.

2938752000 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 2938752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5297079216).

2938752000 is an abundant number, since it is smaller than the sum of its proper divisors (7655406432).

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

2938752000 is a wasteful number, since it uses less digits than its factorization.

2938752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2938752000 is about 54210.2573319847. The cubic root of 2938752000 is about 1432.3670188956.

The spelling of 2938752000 in words is "two billion, nine hundred thirty-eight million, seven hundred fifty-two thousand".