2473773868800 has 2592 divisors, whose sum is σ = 10686516019200. Its totient is φ = 557941063680.

The previous prime is 2473773868729. The next prime is 2473773868817. The reversal of 2473773868800 is 88683773742.

2473773868800 is a `hidden beast` number, since 2 + 473 + 7 + 7 + 3 + 86 + 8 + 80 + 0 = 666.

2473773868800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2473773868800² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19478534337 + ... + 19478534463.

Almost surely, 2^{2473773868800} is an apocalyptic number.

2473773868800 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 2473773868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343258009600).

2473773868800 is an abundant number, since it is smaller than the sum of its proper divisors (8212742150400).

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

2473773868800 is a wasteful number, since it uses less digits than its factorization.

2473773868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 2473773868800 in words is "two trillion, four hundred seventy-three billion, seven hundred seventy-three million, eight hundred sixty-eight thousand, eight hundred".