2580970692720 has 960 divisors, whose sum is σ = 9869488312320. Its totient is φ = 556104407040.

The previous prime is 2580970692673. The next prime is 2580970692733. The reversal of 2580970692720 is 272960790852.

It is a happy number.

2580970692720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2580970692720² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18568134411 + ... + 18568134549.

It is an arithmetic number, because the mean of its divisors is an integer number (10280716992).

Almost surely, 2^{2580970692720} is an apocalyptic number.

2580970692720 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 2580970692720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4934744156160).

2580970692720 is an abundant number, since it is smaller than the sum of its proper divisors (7288517619600).

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

2580970692720 is a wasteful number, since it uses less digits than its factorization.

2580970692720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 2580970692720 in words is "two trillion, five hundred eighty billion, nine hundred seventy million, six hundred ninety-two thousand, seven hundred twenty".