2279680 has 72 divisors (see below), whose sum is σ = 5923512. Its totient is φ = 835584.

The previous prime is 2279663. The next prime is 2279687. The reversal of 2279680 is 869722.

It can be written as a sum of positive squares in 4 ways, for example, as 65536 + 2214144 = 256^2 + 1488^2 .

It is an Ulam number.

It is a d-powerful number, because it can be written as 2¹⁴ + 2¹⁸ + 7³ + 9⁵ + 6⁸ + 8⁶ + 0 .

It is not an unprimeable number, because it can be changed into a prime (2279687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16572 + ... + 16708.

It is an arithmetic number, because the mean of its divisors is an integer number (82271).

2^2279680 is an apocalyptic number.

2279680 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 2279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2961756).

2279680 is an abundant number, since it is smaller than the sum of its proper divisors (3643832).

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

2279680 is a wasteful number, since it uses less digits than its factorization.

2279680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 2279680 is about 1509.8609207473. The cubic root of 2279680 is about 131.6107295015.

The spelling of 2279680 in words is "two million, two hundred seventy-nine thousand, six hundred eighty".