2529938544 has 160 divisors (see below), whose sum is σ = 7829498880. Its totient is φ = 688275456.

The previous prime is 2529938531. The next prime is 2529938549. The reversal of 2529938544 is 4458399252.

2529938544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2529938549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2078224 + ... + 2079440.

It is an arithmetic number, because the mean of its divisors is an integer number (48934368).

Almost surely, 2^2529938544 is an apocalyptic number.

2529938544 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 2529938544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914749440).

2529938544 is an abundant number, since it is smaller than the sum of its proper divisors (5299560336).

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

2529938544 is a wasteful number, since it uses less digits than its factorization.

2529938544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1521 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 51.

The square root of 2529938544 is about 50298.4944506294. The cubic root of 2529938544 is about 1362.6050386602.

The spelling of 2529938544 in words is "two billion, five hundred twenty-nine million, nine hundred thirty-eight thousand, five hundred forty-four".