2626848 has 72 divisors (see below), whose sum is σ = 8543808. Its totient is φ = 749952.

The previous prime is 2626837. The next prime is 2626861. The reversal of 2626848 is 8486262.

It is a tau number, because it is divible by the number of its divisors (72).

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

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

It is a d-powerful number, because it can be written as 2 + 6 + 2¹⁹ + 6⁴ + 8 + 4⁶ + 8⁷ .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1365 + ... + 2667.

It is an arithmetic number, because the mean of its divisors is an integer number (118664).

2^2626848 is an apocalyptic number.

2626848 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 2626848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4271904).

2626848 is an abundant number, since it is smaller than the sum of its proper divisors (5916960).

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

2626848 is a wasteful number, since it uses less digits than its factorization.

2626848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1315 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2626848 is about 1620.7553794450. The cubic root of 2626848 is about 137.9785726025.

The spelling of 2626848 in words is "two million, six hundred twenty-six thousand, eight hundred forty-eight".