2529384 has 96 divisors (see below), whose sum is σ = 7596960. Its totient is φ = 696960.

The previous prime is 2529367. The next prime is 2529391. The reversal of 2529384 is 4839252.

2529384 = T₁₁₂ + T₁₁₃ + ... + T₂₅₄.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (17280) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37719 + ... + 37785.

It is an arithmetic number, because the mean of its divisors is an integer number (79135).

2^2529384 is an apocalyptic number.

2529384 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 2529384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3798480).

2529384 is an abundant number, since it is smaller than the sum of its proper divisors (5067576).

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

2529384 is a wasteful number, since it uses less digits than its factorization.

2529384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 96 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 2529384 is about 1590.4037223296. The cubic root of 2529384 is about 136.2505473704.

The spelling of 2529384 in words is "two million, five hundred twenty-nine thousand, three hundred eighty-four".