2605303300140 has 192 divisors, whose sum is σ = 8372302848000. Its totient is φ = 671898343680.

The previous prime is 2605303300133. The next prime is 2605303300153. The reversal of 2605303300140 is 410033035062.

It is a happy number.

2605303300140 is a `hidden beast` number, since 2 + 60 + 530 + 3 + 30 + 0 + 1 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26047746 + ... + 26147574.

It is an arithmetic number, because the mean of its divisors is an integer number (43605744000).

Almost surely, 2^{2605303300140} is an apocalyptic number.

2605303300140 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 2605303300140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186151424000).

2605303300140 is an abundant number, since it is smaller than the sum of its proper divisors (5766999547860).

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

2605303300140 is a wasteful number, since it uses less digits than its factorization.

2605303300140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101437 (or 101429 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The spelling of 2605303300140 in words is "two trillion, six hundred five billion, three hundred three million, three hundred thousand, one hundred forty".