2529224916480 has 240 divisors, whose sum is σ = 8797029967440. Its totient is φ = 671563874304.

The previous prime is 2529224916479. The next prime is 2529224916499. The reversal of 2529224916480 is 846194229252.

2529224916480 is a `hidden beast` number, since 2 + 5 + 2 + 92 + 2 + 491 + 64 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5132751 + ... + 5603889.

It is an arithmetic number, because the mean of its divisors is an integer number (36654291531).

Almost surely, 2^{2529224916480} is an apocalyptic number.

2529224916480 is a gapful number since it is divisible by the number (20) 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 2529224916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4398514983720).

2529224916480 is an abundant number, since it is smaller than the sum of its proper divisors (6267805050960).

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

2529224916480 is a wasteful number, since it uses less digits than its factorization.

2529224916480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471401 (or 471382 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2529224916480 in words is "two trillion, five hundred twenty-nine billion, two hundred twenty-four million, nine hundred sixteen thousand, four hundred eighty".