2715552 has 96 divisors (see below), whose sum is σ = 9072000. Its totient is φ = 774144.

The previous prime is 2715551. The next prime is 2715571. The reversal of 2715552 is 2555172.

It is a happy number.

2715552 is digitally balanced in base 2, 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2715551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5824 + ... + 6272.

It is an arithmetic number, because the mean of its divisors is an integer number (94500).

2^2715552 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 2715552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4536000).

2715552 is an abundant number, since it is smaller than the sum of its proper divisors (6356448).

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

2715552 is a wasteful number, since it uses less digits than its factorization.

2715552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 461 counting only the distinct ones).

The product of its digits is 3500, while the sum is 27.

The square root of 2715552 is about 1647.8932004229. The cubic root of 2715552 is about 139.5145088390.

2715552 divided by its sum of digits (27) gives a triangular number (100576 = T₄₄₈).

It can be divided in two parts, 27 and 15552, that multiplied together give a square (419904 = 648²).

The spelling of 2715552 in words is "two million, seven hundred fifteen thousand, five hundred fifty-two".