2529144 has 48 divisors (see below), whose sum is σ = 7108920. Its totient is φ = 842400.

The previous prime is 2529143. The next prime is 2529151. The reversal of 2529144 is 4419252.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2529143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1294 + ... + 2594.

2^2529144 is an apocalyptic number.

2529144 is a gapful number since it is divisible by the number (24) 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 2529144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554460).

2529144 is an abundant number, since it is smaller than the sum of its proper divisors (4579776).

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

2529144 is a wasteful number, since it uses less digits than its factorization.

2529144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1306 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 2529144 is about 1590.3282680000. The cubic root of 2529144 is about 136.2462378671.

The spelling of 2529144 in words is "two million, five hundred twenty-nine thousand, one hundred forty-four".