2977280 has 40 divisors (see below), whose sum is σ = 7144632. Its totient is φ = 1189888.

The previous prime is 2977259. The next prime is 2977283. The reversal of 2977280 is 827792.

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2977280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2977283) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1979 + ... + 3141.

2^2977280 is an apocalyptic number.

2977280 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 2977280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572316).

2977280 is an abundant number, since it is smaller than the sum of its proper divisors (4167352).

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

2977280 is an equidigital number, since it uses as much as digits as its factorization.

2977280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 2977280 is about 1725.4796434615. The cubic root of 2977280 is about 143.8599461328.

It can be divided in two parts, 297 and 7280, that multiplied together give a triangular number (2162160 = T₂₀₇₉).

The spelling of 2977280 in words is "two million, nine hundred seventy-seven thousand, two hundred eighty".