2653152 has 48 divisors (see below), whose sum is σ = 7212240. Its totient is φ = 852992.

The previous prime is 2653121. The next prime is 2653187. The reversal of 2653152 is 2513562.

2653152 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2308 + ... + 3260.

It is an arithmetic number, because the mean of its divisors is an integer number (150255).

2^2653152 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 2653152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3606120).

2653152 is an abundant number, since it is smaller than the sum of its proper divisors (4559088).

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

2653152 is a wasteful number, since it uses less digits than its factorization.

2653152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 987 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 2653152 is about 1628.8499010038. The cubic root of 2653152 is about 138.4375943401.

The spelling of 2653152 in words is "two million, six hundred fifty-three thousand, one hundred fifty-two".