2704968 has 64 divisors (see below), whose sum is σ = 8592000. Its totient is φ = 772416.

The previous prime is 2704963. The next prime is 2704969. The reversal of 2704968 is 8694072.

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

It is not an unprimeable number, because it can be changed into a prime (2704963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 618 + ... + 2406.

It is an arithmetic number, because the mean of its divisors is an integer number (134250).

2^2704968 is an apocalyptic number.

2704968 is a gapful number since it is divisible by the number (28) 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 2704968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296000).

2704968 is an abundant number, since it is smaller than the sum of its proper divisors (5887032).

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

2704968 is a wasteful number, since it uses less digits than its factorization.

2704968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1801 counting only the distinct ones).

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

The square root of 2704968 is about 1644.6786920247. The cubic root of 2704968 is about 139.3330179145. Note that the first 3 decimals are identical.

The spelling of 2704968 in words is "two million, seven hundred four thousand, nine hundred sixty-eight".