2507648 has 64 divisors (see below), whose sum is σ = 5911920. Its totient is φ = 1044480.

The previous prime is 2507647. The next prime is 2507671. The reversal of 2507648 is 8467052.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2507641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18236 + ... + 18372.

2^2507648 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 2507648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2955960).

2507648 is an abundant number, since it is smaller than the sum of its proper divisors (3404272).

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

2507648 is a wasteful number, since it uses less digits than its factorization.

2507648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 2507648 is about 1583.5554931861. Note that the first 3 decimals coincide. The cubic root of 2507648 is about 135.8591390451.

Adding to 2507648 its sum of digits (32), we get a triangular number (2507680 = T₂₂₃₉).

The spelling of 2507648 in words is "two million, five hundred seven thousand, six hundred forty-eight".