2584968 has 64 divisors (see below), whose sum is σ = 6894720. Its totient is φ = 806400.

The previous prime is 2584963. The next prime is 2584979. The reversal of 2584968 is 8694852.

It is a super-2 number, since 2×2584968² = 13364119122048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2584963) 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, 36373 + ... + 36443.

It is an arithmetic number, because the mean of its divisors is an integer number (107730).

2^2584968 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 2584968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447360).

2584968 is an abundant number, since it is smaller than the sum of its proper divisors (4309752).

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

2584968 is a wasteful number, since it uses less digits than its factorization.

2584968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 154 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 2584968 is about 1607.7835675239. The cubic root of 2584968 is about 137.2413739059.

The spelling of 2584968 in words is "two million, five hundred eighty-four thousand, nine hundred sixty-eight".