2679948 has 72 divisors (see below), whose sum is σ = 7469280. Its totient is φ = 806400.

The previous prime is 2679899. The next prime is 2679949. The reversal of 2679948 is 8499762.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2679949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17673 + ... + 17823.

It is an arithmetic number, because the mean of its divisors is an integer number (103740).

2^2679948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2679948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734640).

2679948 is an abundant number, since it is smaller than the sum of its proper divisors (4789332).

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

2679948 is a wasteful number, since it uses less digits than its factorization.

2679948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 202 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 2679948 is about 1637.0546722697. The cubic root of 2679948 is about 138.9020927773.

The spelling of 2679948 in words is "two million, six hundred seventy-nine thousand, nine hundred forty-eight".