2681657538 has 64 divisors (see below), whose sum is σ = 6462167040. Its totient is φ = 725294592.

The previous prime is 2681657519. The next prime is 2681657597. The reversal of 2681657538 is 8357561862.

It is a happy number.

It is a super-2 number, since 2×2681657538² = 14382574302224442888, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79393 + ... + 108011.

It is an arithmetic number, because the mean of its divisors is an integer number (100971360).

Almost surely, 2^2681657538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2681657538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231083520).

2681657538 is an abundant number, since it is smaller than the sum of its proper divisors (3780509502).

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

2681657538 is a wasteful number, since it uses less digits than its factorization.

2681657538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28751.

The product of its digits is 2419200, while the sum is 51.

The square root of 2681657538 is about 51784.7230175078. The cubic root of 2681657538 is about 1389.3162170001.

The spelling of 2681657538 in words is "two billion, six hundred eighty-one million, six hundred fifty-seven thousand, five hundred thirty-eight".