2789640 has 192 divisors, whose sum is σ = 11007360. Its totient is φ = 622080.

The previous prime is 2789629. The next prime is 2789669. The reversal of 2789640 is 469872.

2789640 is a `hidden beast` number, since 2 + 7 + 8 + 9 + 640 = 666.

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

It is a d-powerful number, because it can be written as 2¹¹ + 7³ + 8 + 9⁵ + 6⁸ + 4¹⁰ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 2789595 and 2789604.

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 47 ways as a sum of consecutive naturals, for example, 68020 + ... + 68060.

It is an arithmetic number, because the mean of its divisors is an integer number (57330).

2^2789640 is an apocalyptic number.

2789640 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 2789640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503680).

2789640 is an abundant number, since it is smaller than the sum of its proper divisors (8217720).

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

2789640 is a wasteful number, since it uses less digits than its factorization.

2789640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 58 counting only the distinct ones).

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

The square root of 2789640 is about 1670.2215421913. The cubic root of 2789640 is about 140.7719264363.

The spelling of 2789640 in words is "two million, seven hundred eighty-nine thousand, six hundred forty".