2630880 has 240 divisors, whose sum is σ = 10977120. Its totient is φ = 580608.

The previous prime is 2630879. The next prime is 2630891. The reversal of 2630880 is 880362.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 174 × 126 × 120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90706 + ... + 90734.

It is an arithmetic number, because the mean of its divisors is an integer number (45738).

2^2630880 is an apocalyptic number.

2630880 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 2630880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488560).

2630880 is an abundant number, since it is smaller than the sum of its proper divisors (8346240).

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

2630880 is a wasteful number, since it uses less digits than its factorization.

2630880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2630880 is about 1621.9987669539. The cubic root of 2630880 is about 138.0491318440.

The spelling of 2630880 in words is "two million, six hundred thirty thousand, eight hundred eighty".