2581152 has 96 divisors (see below), whose sum is σ = 8128512. Its totient is φ = 701184.

The previous prime is 2581147. The next prime is 2581171. The reversal of 2581152 is 2511852.

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 (24).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15373 + ... + 15539.

It is an arithmetic number, because the mean of its divisors is an integer number (84672).

2^2581152 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 2581152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064256).

2581152 is an abundant number, since it is smaller than the sum of its proper divisors (5547360).

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

2581152 is a wasteful number, since it uses less digits than its factorization.

2581152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 202 counting only the distinct ones).

The product of its digits is 800, while the sum is 24.

The square root of 2581152 is about 1606.5964023363. The cubic root of 2581152 is about 137.1738074987.

The spelling of 2581152 in words is "two million, five hundred eighty-one thousand, one hundred fifty-two".