2464125206400 has 1152 divisors, whose sum is σ = 10356502141440. Its totient is φ = 549985075200.

The previous prime is 2464125206383. The next prime is 2464125206423. The reversal of 2464125206400 is 46025214642.

2464125206400 is a `hidden beast` number, since 2 + 4 + 6 + 4 + 1 + 2 + 5 + 2 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2994076389 + ... + 2994077211.

It is an arithmetic number, because the mean of its divisors is an integer number (8990019220).

Almost surely, 2^{2464125206400} is an apocalyptic number.

2464125206400 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 2464125206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5178251070720).

2464125206400 is an abundant number, since it is smaller than the sum of its proper divisors (7892376935040).

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

2464125206400 is a wasteful number, since it uses less digits than its factorization.

2464125206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 2464125206400 in words is "two trillion, four hundred sixty-four billion, one hundred twenty-five million, two hundred six thousand, four hundred".