2715648 has 104 divisors (see below), whose sum is σ = 8256528. Its totient is φ = 786432.

The previous prime is 2715637. The next prime is 2715649. The reversal of 2715648 is 8465172.

2715648 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (104).

It is a super-3 number, since 3×2715648³ = 60081626870370533376, which contains 333 as substring.

Its product of digits (13440) is a multiple of the sum of its prime divisors (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2715649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159736 + ... + 159752.

2^2715648 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 2715648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4128264).

2715648 is an abundant number, since it is smaller than the sum of its proper divisors (5540880).

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

2715648 is a wasteful number, since it uses less digits than its factorization.

2715648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 35 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 2715648 is about 1647.9223282667. The cubic root of 2715648 is about 139.5161528552.

Subtracting from 2715648 its sum of digits (33), we obtain a triangular number (2715615 = T₂₃₃₀).

The spelling of 2715648 in words is "two million, seven hundred fifteen thousand, six hundred forty-eight".