2586948 has 96 divisors (see below), whose sum is σ = 7827456. Its totient is φ = 646272.

The previous prime is 2586943. The next prime is 2586953. The reversal of 2586948 is 8496852.

2586948 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2586943) and next prime (2586953).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2586943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25065 + ... + 25167.

It is an arithmetic number, because the mean of its divisors is an integer number (81536).

2^2586948 is an apocalyptic number.

2586948 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 2586948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3913728).

2586948 is an abundant number, since it is smaller than the sum of its proper divisors (5240508).

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

2586948 is a wasteful number, since it uses less digits than its factorization.

2586948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 151 counting only the distinct ones).

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

The square root of 2586948 is about 1608.3992041779. The cubic root of 2586948 is about 137.2764057475.

The spelling of 2586948 in words is "two million, five hundred eighty-six thousand, nine hundred forty-eight".