2573703084960 has 2304 divisors, whose sum is σ = 11353255280640. Its totient is φ = 538014597120.

The previous prime is 2573703084947. The next prime is 2573703085003. The reversal of 2573703084960 is 694803073752.

2573703084960 is a `hidden beast` number, since 2 + 57 + 3 + 70 + 30 + 8 + 496 + 0 = 666.

2573703084960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2573703084897 and 2573703084906.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16393013202 + ... + 16393013358.

It is an arithmetic number, because the mean of its divisors is an integer number (4927628160).

Almost surely, 2^{2573703084960} is an apocalyptic number.

2573703084960 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 2573703084960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5676627640320).

2573703084960 is an abundant number, since it is smaller than the sum of its proper divisors (8779552195680).

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

2573703084960 is a wasteful number, since it uses less digits than its factorization.

2573703084960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 2573703084960 in words is "two trillion, five hundred seventy-three billion, seven hundred three million, eighty-four thousand, nine hundred sixty".