2529879450 has 192 divisors, whose sum is σ = 7596180480. Its totient is φ = 544320000.

The previous prime is 2529879449. The next prime is 2529879461. The reversal of 2529879450 is 549789252.

It is a junction number, because it is equal to n+sod(n) for n = 2529879393 and 2529879402.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4209150 + ... + 4209750.

It is an arithmetic number, because the mean of its divisors is an integer number (39563440).

Almost surely, 2^2529879450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2529879450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3798090240).

2529879450 is an abundant number, since it is smaller than the sum of its proper divisors (5066301030).

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

2529879450 is a wasteful number, since it uses less digits than its factorization.

2529879450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The square root of 2529879450 is about 50297.9070141094. The cubic root of 2529879450 is about 1362.5944293895.

The spelling of 2529879450 in words is "two billion, five hundred twenty-nine million, eight hundred seventy-nine thousand, four hundred fifty".