2251971461232 has 80 divisors (see below), whose sum is σ = 6486053928480. Its totient is φ = 748095141888.

The previous prime is 2251971461227. The next prime is 2251971461237. The reversal of 2251971461232 is 2321641791522.

2251971461232 is a `hidden beast` number, since 2 + 2 + 5 + 19 + 7 + 14 + 612 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2251971461227) and next prime (2251971461237).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251971461237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8769153 + ... + 9022304.

It is an arithmetic number, because the mean of its divisors is an integer number (81075674106).

Almost surely, 2^{2251971461232} is an apocalyptic number.

It is an amenable number.

2251971461232 is an abundant number, since it is smaller than the sum of its proper divisors (4234082467248).

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

2251971461232 is a wasteful number, since it uses less digits than its factorization.

2251971461232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17791767 (or 17791755 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 2251971461232 in words is "two trillion, two hundred fifty-one billion, nine hundred seventy-one million, four hundred sixty-one thousand, two hundred thirty-two".