2575080340560 has 1920 divisors, whose sum is σ = 11792845209600. Its totient is φ = 488327823360.

The previous prime is 2575080340523. The next prime is 2575080340603. The reversal of 2575080340560 is 650430805752.

2575080340560 is a `hidden beast` number, since 2 + 5 + 7 + 5 + 0 + 80 + 3 + 4 + 0 + 560 = 666.

It is a super-2 number, since 2×2575080340560² (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 383 ways as a sum of consecutive naturals, for example, 2045337211 + ... + 2045338469.

It is an arithmetic number, because the mean of its divisors is an integer number (6142106880).

Almost surely, 2^{2575080340560} is an apocalyptic number.

2575080340560 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 2575080340560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896422604800).

2575080340560 is an abundant number, since it is smaller than the sum of its proper divisors (9217764869040).

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

2575080340560 is a wasteful number, since it uses less digits than its factorization.

2575080340560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 2575080340560 in words is "two trillion, five hundred seventy-five billion, eighty million, three hundred forty thousand, five hundred sixty".