2874648 has 64 divisors (see below), whose sum is σ = 8363520. Its totient is φ = 806400.

The previous prime is 2874647. The next prime is 2874673. The reversal of 2874648 is 8464782.

2874648 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2874648³ = 71264833330885157376, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

2874648 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2874647) 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, 11808 + ... + 12048.

It is an arithmetic number, because the mean of its divisors is an integer number (130680).

2^2874648 is an apocalyptic number.

2874648 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 2874648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4181760).

2874648 is an abundant number, since it is smaller than the sum of its proper divisors (5488872).

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

2874648 is a wasteful number, since it uses less digits than its factorization.

2874648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 324 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 2874648 is about 1695.4786934668. The cubic root of 2874648 is about 142.1875456185.

The spelling of 2874648 in words is "two million, eight hundred seventy-four thousand, six hundred forty-eight".