2824752490000 has 275 divisors, whose sum is σ = 7978842958427. Its totient is φ = 968486568000.

The previous prime is 2824752489989. The next prime is 2824752490003. The reversal of 2824752490000 is 942574282.

It is a happy number.

The square root of 2824752490000 is 1680700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 221460595216 + 2603291894784 = 470596^2 + 1613472^2 .

It is a super-2 number, since 2×2824752490000² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2824752490003) by changing a digit.

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 54 ways as a sum of consecutive naturals, for example, 403536069997 + ... + 403536070003.

Almost surely, 2^{2824752490000} is an apocalyptic number.

2824752490000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2824752490000 is the 1680700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2824752490000

2824752490000 is an abundant number, since it is smaller than the sum of its proper divisors (5154090468427).

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

2824752490000 is an frugal number, since it uses more digits than its factorization.

2824752490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 2824752490000 in words is "two trillion, eight hundred twenty-four billion, seven hundred fifty-two million, four hundred ninety thousand".