2529724980 has 192 divisors, whose sum is σ = 7674912000. Its totient is φ = 620605440.

The previous prime is 2529724973. The next prime is 2529724987. The reversal of 2529724980 is 894279252.

It is an interprime number because it is at equal distance from previous prime (2529724973) and next prime (2529724987).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2529724987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9002440 + ... + 9002720.

It is an arithmetic number, because the mean of its divisors is an integer number (39973500).

Almost surely, 2^2529724980 is an apocalyptic number.

2529724980 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 2529724980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3837456000).

2529724980 is an abundant number, since it is smaller than the sum of its proper divisors (5145187020).

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

2529724980 is a wasteful number, since it uses less digits than its factorization.

2529724980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 2529724980 is about 50296.3714396973. The cubic root of 2529724980 is about 1362.5666962834.

The spelling of 2529724980 in words is "two billion, five hundred twenty-nine million, seven hundred twenty-four thousand, nine hundred eighty".