2972000 has 48 divisors (see below), whose sum is σ = 7312032. Its totient is φ = 1187200.

The previous prime is 2971993. The next prime is 2972027. The reversal of 2972000 is 2792.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3629 + ... + 4371.

It is an arithmetic number, because the mean of its divisors is an integer number (152334).

2^2972000 is an apocalyptic number.

2972000 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 2972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656016).

2972000 is an abundant number, since it is smaller than the sum of its proper divisors (4340032).

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

2972000 is an equidigital number, since it uses as much as digits as its factorization.

2972000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 2972000 is about 1723.9489551608. The cubic root of 2972000 is about 143.7748539256.

Adding to 2972000 its reverse (2792), we get a palindrome (2974792).

The spelling of 2972000 in words is "two million, nine hundred seventy-two thousand".