2972120 has 32 divisors (see below), whose sum is σ = 6793200. Its totient is φ = 1170048.

The previous prime is 2972119. The next prime is 2972141. The reversal of 2972120 is 212792.

It is an Ulam number.

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, 2126 + ... + 3234.

2^2972120 is an apocalyptic number.

2972120 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 2972120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396600).

2972120 is an abundant number, since it is smaller than the sum of its proper divisors (3821080).

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

2972120 is a wasteful number, since it uses less digits than its factorization.

2972120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 2972120 is about 1723.9837586242. The cubic root of 2972120 is about 143.7767889582.

The spelling of 2972120 in words is "two million, nine hundred seventy-two thousand, one hundred twenty".