2429094528 has 512 divisors, whose sum is σ = 8773632000. Its totient is φ = 646963200.

The previous prime is 2429094523. The next prime is 2429094593. The reversal of 2429094528 is 8254909242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2429094523) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30747993 + ... + 30748071.

It is an arithmetic number, because the mean of its divisors is an integer number (17136000).

Almost surely, 2^2429094528 is an apocalyptic number.

2429094528 is a gapful number since it is divisible by the number (28) 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 2429094528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4386816000).

2429094528 is an abundant number, since it is smaller than the sum of its proper divisors (6344537472).

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

2429094528 is a wasteful number, since it uses less digits than its factorization.

2429094528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2429094528 is about 49285.8451079009. The cubic root of 2429094528 is about 1344.2544161223.

The spelling of 2429094528 in words is "two billion, four hundred twenty-nine million, ninety-four thousand, five hundred twenty-eight".