2680125250320 has 1280 divisors, whose sum is σ = 11284992000000. Its totient is φ = 583619033088.

The previous prime is 2680125250249. The next prime is 2680125250337. The reversal of 2680125250320 is 230525210862.

It is a happy number.

2680125250320 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 125 + 2 + 503 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1697355291 + ... + 1697356869.

It is an arithmetic number, because the mean of its divisors is an integer number (8816400000).

Almost surely, 2^{2680125250320} is an apocalyptic number.

2680125250320 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 2680125250320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5642496000000).

2680125250320 is an abundant number, since it is smaller than the sum of its proper divisors (8604866749680).

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

2680125250320 is a wasteful number, since it uses less digits than its factorization.

2680125250320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 2680125250320 in words is "two trillion, six hundred eighty billion, one hundred twenty-five million, two hundred fifty thousand, three hundred twenty".