2483649921600 has 567 divisors, whose sum is σ = 9244158114009. Its totient is φ = 632401228800.

The previous prime is 2483649921559. The next prime is 2483649921611. The reversal of 2483649921600 is 61299463842.

The square root of 2483649921600 is 1575960.

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

2483649921600 is a `hidden beast` number, since 2 + 4 + 8 + 3 + 6 + 4 + 9 + 9 + 21 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 894113971776 + 1589535949824 = 945576^2 + 1260768^2 .

It is a super-2 number, since 2×2483649921600² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4349649315 + ... + 4349649885.

Almost surely, 2^{2483649921600} is an apocalyptic number.

2483649921600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2483649921600 is the 1575960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2483649921600

2483649921600 is an abundant number, since it is smaller than the sum of its proper divisors (6760508192409).

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

2483649921600 is an equidigital number, since it uses as much as digits as its factorization.

2483649921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 2483649921600 in words is "two trillion, four hundred eighty-three billion, six hundred forty-nine million, nine hundred twenty-one thousand, six hundred".