2657820287538 has 96 divisors (see below), whose sum is σ = 6486234693120. Its totient is φ = 780419122560.

The previous prime is 2657820287531. The next prime is 2657820287539. The reversal of 2657820287538 is 8357820287562.

It is a happy number.

2657820287538 is a `hidden beast` number, since 2 + 6 + 5 + 78 + 2 + 0 + 28 + 7 + 538 = 666.

It is not an unprimeable number, because it can be changed into a prime (2657820287531) 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, 1746748 + ... + 2892536.

It is an arithmetic number, because the mean of its divisors is an integer number (67564944720).

Almost surely, 2^{2657820287538} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2657820287538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243117346560).

2657820287538 is an abundant number, since it is smaller than the sum of its proper divisors (3828414405582).

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

2657820287538 is a wasteful number, since it uses less digits than its factorization.

2657820287538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146264 (or 1146261 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 2657820287538 in words is "two trillion, six hundred fifty-seven billion, eight hundred twenty million, two hundred eighty-seven thousand, five hundred thirty-eight".