2529090144 has 144 divisors (see below), whose sum is σ = 8280443808. Its totient is φ = 717244416.

The previous prime is 2529090131. The next prime is 2529090149. The reversal of 2529090144 is 4410909252.

2529090144 is a `hidden beast` number, since 2 + 529 + 0 + 90 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2529090099 and 2529090108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2529090149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271614 + ... + 280770.

It is an arithmetic number, because the mean of its divisors is an integer number (57503082).

Almost surely, 2^2529090144 is an apocalyptic number.

2529090144 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 2529090144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4140221904).

2529090144 is an abundant number, since it is smaller than the sum of its proper divisors (5751353664).

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

2529090144 is a wasteful number, since it uses less digits than its factorization.

2529090144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9317 (or 9306 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2529090144 is about 50290.0600914336. The cubic root of 2529090144 is about 1362.4527077713.

Adding to 2529090144 its reverse (4410909252), we get a palindrome (6939999396).

The spelling of 2529090144 in words is "two billion, five hundred twenty-nine million, ninety thousand, one hundred forty-four".