2225460436101 has 24 divisors (see below), whose sum is σ = 3673998192384. Its totient is φ = 1271614750560.

The previous prime is 2225460436099. The next prime is 2225460436181. The reversal of 2225460436101 is 1016340645222.

2225460436101 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 4 + 604 + 36 + 10 + 1 = 666.

It is not a de Polignac number, because 2225460436101 - 2¹ = 2225460436099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225460436181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10461 + ... + 2109746.

It is an arithmetic number, because the mean of its divisors is an integer number (153083258016).

Almost surely, 2^{2225460436101} is an apocalyptic number.

2225460436101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2225460436101 is a deficient number, since it is larger than the sum of its proper divisors (1448537756283).

2225460436101 is a wasteful number, since it uses less digits than its factorization.

2225460436101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136881 (or 2136878 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 2225460436101 in words is "two trillion, two hundred twenty-five billion, four hundred sixty million, four hundred thirty-six thousand, one hundred one".