2938800 has 120 divisors (see below), whose sum is σ = 9840640. Its totient is φ = 748800.

The previous prime is 2938783. The next prime is 2938801. The reversal of 2938800 is 88392.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2938801) 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, 37161 + ... + 37239.

2^2938800 is an apocalyptic number.

2938800 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 2938800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4920320).

2938800 is an abundant number, since it is smaller than the sum of its proper divisors (6901840).

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

2938800 is a wasteful number, since it uses less digits than its factorization.

2938800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2938800 is about 1714.2928571280. The cubic root of 2938800 is about 143.2374817358.

The spelling of 2938800 in words is "two million, nine hundred thirty-eight thousand, eight hundred".