2900261761 has 32 divisors (see below), whose sum is σ = 3312092160. Its totient is φ = 2525644800.

The previous prime is 2900261737. The next prime is 2900261803. The reversal of 2900261761 is 1671620092.

It is a cyclic number.

It is not a de Polignac number, because 2900261761 - 2⁹ = 2900261249 is a prime.

It is a super-2 number, since 2×2900261761² = 16823036564637642242, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2900261701) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1149181 + ... + 1151701.

It is an arithmetic number, because the mean of its divisors is an integer number (103502880).

Almost surely, 2^2900261761 is an apocalyptic number.

2900261761 is the 31093-rd octagonal number.

It is an amenable number.

2900261761 is a deficient number, since it is larger than the sum of its proper divisors (411830399).

2900261761 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (2900261760) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (2665).

2900261761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665.

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 2900261761 is about 53854.0784063751. The cubic root of 2900261761 is about 1426.0860518838.

The spelling of 2900261761 in words is "two billion, nine hundred million, two hundred sixty-one thousand, seven hundred sixty-one".