2482690924800 has 648 divisors, whose sum is σ = 9089058888000. Its totient is φ = 646329876480.

The previous prime is 2482690924787. The next prime is 2482690924823. The reversal of 2482690924800 is 84290962842.

2482690924800 is a `hidden beast` number, since 2 + 482 + 69 + 0 + 9 + 24 + 80 + 0 = 666.

It is a super-4 number, since 4×2482690924800⁴ (a number of 51 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 506359149 + ... + 506364051.

Almost surely, 2^{2482690924800} is an apocalyptic number.

2482690924800 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 2482690924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4544529444000).

2482690924800 is an abundant number, since it is smaller than the sum of its proper divisors (6606367963200).

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

2482690924800 is a wasteful number, since it uses less digits than its factorization.

2482690924800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5143 (or 5121 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 2482690924800 in words is "two trillion, four hundred eighty-two billion, six hundred ninety million, nine hundred twenty-four thousand, eight hundred".