2307648 has 112 divisors (see below), whose sum is σ = 7461504. Its totient is φ = 614400.

The previous prime is 2307637. The next prime is 2307661. The reversal of 2307648 is 8467032.

2307648 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×2307648³ = 36866333404451045376, which contains 333 as substring.

It is a d-powerful number, because it can be written as 2²¹ + 3¹⁰ + 0 + 7⁶ + 6 + 4⁵ + 8⁵ .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22798 + ... + 22898.

2^2307648 is an apocalyptic number.

2307648 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 2307648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730752).

2307648 is an abundant number, since it is smaller than the sum of its proper divisors (5153856).

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

2307648 is a wasteful number, since it uses less digits than its factorization.

2307648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2307648 is about 1519.0944671086. The cubic root of 2307648 is about 132.1467605512.

The spelling of 2307648 in words is "two million, three hundred seven thousand, six hundred forty-eight".