2606157701140 has 144 divisors (see below), whose sum is σ = 6486272133264. Its totient is φ = 876795494400.

The previous prime is 2606157701129. The next prime is 2606157701141. The reversal of 2606157701140 is 411077516062.

It can be written as a sum of positive squares in 8 ways, for example, as 2078637295504 + 527520405636 = 1441748^2 + 726306^2 .

It is a super-2 number, since 2×2606157701140² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2606157701093 and 2606157701102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2606157701141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25115604 + ... + 25219156.

It is an arithmetic number, because the mean of its divisors is an integer number (45043556481).

Almost surely, 2^{2606157701140} is an apocalyptic number.

2606157701140 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 2606157701140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243136066632).

2606157701140 is an abundant number, since it is smaller than the sum of its proper divisors (3880114432124).

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

2606157701140 is a wasteful number, since it uses less digits than its factorization.

2606157701140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104058 (or 104049 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The spelling of 2606157701140 in words is "two trillion, six hundred six billion, one hundred fifty-seven million, seven hundred one thousand, one hundred forty".