2527161690 has 128 divisors (see below), whose sum is σ = 6925927680. Its totient is φ = 586137600.

The previous prime is 2527161667. The next prime is 2527161737. The reversal of 2527161690 is 961617252.

2527161690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2527161690² = 12773092414807312200, 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 63 ways as a sum of consecutive naturals, for example, 394110 + ... + 400470.

It is an arithmetic number, because the mean of its divisors is an integer number (54108810).

Almost surely, 2^2527161690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2527161690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3462963840).

2527161690 is an abundant number, since it is smaller than the sum of its proper divisors (4398765990).

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

2527161690 is a wasteful number, since it uses less digits than its factorization.

2527161690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6448.

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 2527161690 is about 50270.8831233349. The cubic root of 2527161690 is about 1362.1063255653.

The spelling of 2527161690 in words is "two billion, five hundred twenty-seven million, one hundred sixty-one thousand, six hundred ninety".