2473825536000 has 4608 divisors, whose sum is σ = 12500838604800. Its totient is φ = 472979865600.

The previous prime is 2473825535957. The next prime is 2473825536001. The reversal of 2473825536000 is 6355283742.

2473825536000 is a `hidden beast` number, since 2 + 4 + 7 + 38 + 2 + 5 + 5 + 3 + 600 + 0 = 666.

2473825536000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×2473825536000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2473825536001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 107557631989 + ... + 107557632011.

It is an arithmetic number, because the mean of its divisors is an integer number (2712855600).

Almost surely, 2^{2473825536000} is an apocalyptic number.

2473825536000 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 2473825536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6250419302400).

2473825536000 is an abundant number, since it is smaller than the sum of its proper divisors (10027013068800).

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

2473825536000 is a wasteful number, since it uses less digits than its factorization.

2473825536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 2473825536000 in words is "two trillion, four hundred seventy-three billion, eight hundred twenty-five million, five hundred thirty-six thousand".