2561152 has 64 divisors (see below), whose sum is σ = 5948640. Its totient is φ = 1085440.

The previous prime is 2561137. The next prime is 2561159. The reversal of 2561152 is 2511652.

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 (22).

It is an Ulam number.

2561152 is a modest number, since divided by 1152 gives 256 as remainder.

It is not an unprimeable number, because it can be changed into a prime (2561159) 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, 23883 + ... + 23989.

2^2561152 is an apocalyptic number.

2561152 is a gapful number since it is divisible by the number (22) 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 2561152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974320).

2561152 is an abundant number, since it is smaller than the sum of its proper divisors (3387488).

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

2561152 is a wasteful number, since it uses less digits than its factorization.

2561152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 137 counting only the distinct ones).

The product of its digits is 600, while the sum is 22.

The square root of 2561152 is about 1600.3599595091. The cubic root of 2561152 is about 136.8185923683.

The spelling of 2561152 in words is "two million, five hundred sixty-one thousand, one hundred fifty-two".