2938000 has 80 divisors (see below), whose sum is σ = 7718256. Its totient is φ = 1075200.

The previous prime is 2937983. The next prime is 2938003. The reversal of 2938000 is 8392.

It can be written as a sum of positive squares in 8 ways, for example, as 2396304 + 541696 = 1548^2 + 736^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2938003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25944 + ... + 26056.

2^2938000 is an apocalyptic number.

2938000 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 2938000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3859128).

2938000 is an abundant number, since it is smaller than the sum of its proper divisors (4780256).

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

2938000 is a wasteful number, since it uses less digits than its factorization.

2938000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 2938000 is about 1714.0595088853. The cubic root of 2938000 is about 143.2244831894.

The spelling of 2938000 in words is "two million, nine hundred thirty-eight thousand".