2580912013680 has 2400 divisors, whose sum is σ = 12247458398208. Its totient is φ = 489104179200.

The previous prime is 2580912013627. The next prime is 2580912013709. The reversal of 2580912013680 is 863102190852.

2580912013680 is a `hidden beast` number, since 2 + 5 + 80 + 9 + 1 + 201 + 368 + 0 = 666.

It is a super-2 number, since 2×2580912013680² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 10709178360 + ... + 10709178600.

Almost surely, 2^{2580912013680} is an apocalyptic number.

2580912013680 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 2580912013680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6123729199104).

2580912013680 is an abundant number, since it is smaller than the sum of its proper divisors (9666546384528).

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

2580912013680 is a wasteful number, since it uses less digits than its factorization.

2580912013680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 2580912013680 in words is "two trillion, five hundred eighty billion, nine hundred twelve million, thirteen thousand, six hundred eighty".