2798640 has 180 divisors, whose sum is σ = 10619856. Its totient is φ = 658944.

The previous prime is 2798639. The next prime is 2798641. The reversal of 2798640 is 468972.

2798640 is a `hidden beast` number, since 2 + 7 + 9 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2798639) and next prime (2798641).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2798595 and 2798604.

It is not an unprimeable number, because it can be changed into a prime (2798641) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121669 + ... + 121691.

2^2798640 is an apocalyptic number.

2798640 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 2798640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5309928).

2798640 is an abundant number, since it is smaller than the sum of its proper divisors (7821216).

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

2798640 is a wasteful number, since it uses less digits than its factorization.

2798640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2798640 is about 1672.9136259831. The cubic root of 2798640 is about 140.9231511212.

The spelling of 2798640 in words is "two million, seven hundred ninety-eight thousand, six hundred forty".