2880181010261 has 16 divisors (see below), whose sum is σ = 2968972066368. Its totient is φ = 2792385456000.

The previous prime is 2880181010227. The next prime is 2880181010263. The reversal of 2880181010261 is 1620101810882.

It is a cyclic number.

It is not a de Polignac number, because 2880181010261 - 2³⁸ = 2605303103317 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2880181010263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81873206 + ... + 81908376.

It is an arithmetic number, because the mean of its divisors is an integer number (185560754148).

Almost surely, 2^{2880181010261} is an apocalyptic number.

It is an amenable number.

2880181010261 is a deficient number, since it is larger than the sum of its proper divisors (88791056107).

2880181010261 is a wasteful number, since it uses less digits than its factorization.

2880181010261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49252.

The product of its (nonzero) digits is 12288, while the sum is 38.

The spelling of 2880181010261 in words is "two trillion, eight hundred eighty billion, one hundred eighty-one million, ten thousand, two hundred sixty-one".