2714880 has 144 divisors (see below), whose sum is σ = 10007424. Its totient is φ = 614400.

The previous prime is 2714867. The next prime is 2714903. The reversal of 2714880 is 884172.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26830 + ... + 26930.

It is an arithmetic number, because the mean of its divisors is an integer number (69496).

2^2714880 is an apocalyptic number.

2714880 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 2714880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5003712).

2714880 is an abundant number, since it is smaller than the sum of its proper divisors (7292544).

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

2714880 is a wasteful number, since it uses less digits than its factorization.

2714880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 2714880 is about 1647.6892910983. The cubic root of 2714880 is about 139.5029996400.

It can be divided in two parts, 271 and 4880, that added together give a triangular number (5151 = T₁₀₁).

The spelling of 2714880 in words is "two million, seven hundred fourteen thousand, eight hundred eighty".