2560673070720 has 2048 divisors, whose sum is σ = 10355392512000. Its totient is φ = 595206144000.

The previous prime is 2560673070719. The next prime is 2560673070749. The reversal of 2560673070720 is 270703760652.

2560673070720 is a `hidden beast` number, since 2 + 5 + 606 + 7 + 30 + 7 + 0 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×2560673070720² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 25353198670 + ... + 25353198770.

It is an arithmetic number, because the mean of its divisors is an integer number (5056344000).

Almost surely, 2^{2560673070720} is an apocalyptic number.

2560673070720 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 2560673070720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5177696256000).

2560673070720 is an abundant number, since it is smaller than the sum of its proper divisors (7794719441280).

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

2560673070720 is a wasteful number, since it uses less digits than its factorization.

2560673070720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 2560673070720 in words is "two trillion, five hundred sixty billion, six hundred seventy-three million, seventy thousand, seven hundred twenty".