2573463446400 has 768 divisors, whose sum is σ = 10661778316800. Its totient is φ = 529996185600.

The previous prime is 2573463446387. The next prime is 2573463446417. The reversal of 2573463446400 is 46443643752.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2573463446400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83514196 + ... + 83545004.

It is an arithmetic number, because the mean of its divisors is an integer number (13882523850).

Almost surely, 2^{2573463446400} is an apocalyptic number.

2573463446400 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 2573463446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5330889158400).

2573463446400 is an abundant number, since it is smaller than the sum of its proper divisors (8088314870400).

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

2573463446400 is a wasteful number, since it uses less digits than its factorization.

2573463446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30967 (or 30950 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 48.

The spelling of 2573463446400 in words is "two trillion, five hundred seventy-three billion, four hundred sixty-three million, four hundred forty-six thousand, four hundred".