2261801185272 has 24 divisors (see below), whose sum is σ = 6125711543640. Its totient is φ = 753933728400.

The previous prime is 2261801185261. The next prime is 2261801185283. The reversal of 2261801185272 is 2725811081622.

2261801185272 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 8 + 0 + 118 + 527 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2261801185261) and next prime (2261801185283).

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15706952604 + ... + 15706952747.

It is an arithmetic number, because the mean of its divisors is an integer number (255237980985).

Almost surely, 2^{2261801185272} is an apocalyptic number.

It is an amenable number.

2261801185272 is an abundant number, since it is smaller than the sum of its proper divisors (3863910358368).

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

2261801185272 is a wasteful number, since it uses less digits than its factorization.

2261801185272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31413905363 (or 31413905356 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 2261801185272 in words is "two trillion, two hundred sixty-one billion, eight hundred one million, one hundred eighty-five thousand, two hundred seventy-two".