2097648 has 60 divisors (see below), whose sum is σ = 6712368. Its totient is φ = 599040.

The previous prime is 2097643. The next prime is 2097653. The reversal of 2097648 is 8467902.

2097648 is a `hidden beast` number, since 2 + 0 + 9 + 7 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (2097643) and next prime (2097653).

It is a super-4 number, since 4×2097648⁴ (a number of 26 digits) contains 4444 as substring.

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

It is a d-powerful number, because it can be written as 2²¹ + 0 + 9 + 7 + 6³ + 4⁴ + 8 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2097643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33 + ... + 2048.

2^2097648 is an apocalyptic number.

2097648 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 2097648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3356184).

2097648 is an abundant number, since it is smaller than the sum of its proper divisors (4614720).

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

2097648 is a wasteful number, since it uses less digits than its factorization.

2097648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2097648 is about 1448.3259301690. The cubic root of 2097648 is about 128.0100903504.

The spelling of 2097648 in words is "two million, ninety-seven thousand, six hundred forty-eight".