2529179328 has 112 divisors (see below), whose sum is σ = 7223715296. Its totient is φ = 776355840.

The previous prime is 2529179327. The next prime is 2529179333. The reversal of 2529179328 is 8239719252.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (2529179327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1349400 + ... + 1351272.

It is an arithmetic number, because the mean of its divisors is an integer number (64497458).

Almost surely, 2^2529179328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2529179328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3611857648).

2529179328 is an abundant number, since it is smaller than the sum of its proper divisors (4694535968).

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

2529179328 is a wasteful number, since it uses less digits than its factorization.

2529179328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2442 (or 2432 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 2529179328 is about 50290.9467797137. The cubic root of 2529179328 is about 1362.4687224310.

The spelling of 2529179328 in words is "two billion, five hundred twenty-nine million, one hundred seventy-nine thousand, three hundred twenty-eight".