2977120 has 48 divisors (see below), whose sum is σ = 7348320. Its totient is φ = 1137664.

The previous prime is 2977099. The next prime is 2977151. The reversal of 2977120 is 217792.

It is a happy number.

2977120 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3276 + ... + 4084.

It is an arithmetic number, because the mean of its divisors is an integer number (153090).

2^2977120 is an apocalyptic number.

2977120 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 2977120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3674160).

2977120 is an abundant number, since it is smaller than the sum of its proper divisors (4371200).

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

2977120 is a wasteful number, since it uses less digits than its factorization.

2977120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 2977120 is about 1725.4332789187. The cubic root of 2977120 is about 143.8573690598.

It can be divided in two parts, 29771 and 20, that added together give a cube (29791 = 31³).

The spelling of 2977120 in words is "two million, nine hundred seventy-seven thousand, one hundred twenty".