2529206424 has 128 divisors (see below), whose sum is σ = 7278336000. Its totient is φ = 812937600.

The previous prime is 2529206423. The next prime is 2529206429. The reversal of 2529206424 is 4246029252.

It is a happy number.

2529206424 is a `hidden beast` number, since 2 + 5 + 2 + 9 + 2 + 0 + 642 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2529206423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2604259 + ... + 2605229.

It is an arithmetic number, because the mean of its divisors is an integer number (56862000).

Almost surely, 2^2529206424 is an apocalyptic number.

2529206424 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 2529206424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3639168000).

2529206424 is an abundant number, since it is smaller than the sum of its proper divisors (4749129576).

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

2529206424 is a wasteful number, since it uses less digits than its factorization.

2529206424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2529206424 is about 50291.2161714151. The cubic root of 2529206424 is about 1362.4735879514.

The spelling of 2529206424 in words is "two billion, five hundred twenty-nine million, two hundred six thousand, four hundred twenty-four".