2302132002261 has 128 divisors (see below), whose sum is σ = 3962610892800. Its totient is φ = 1156725273600.

The previous prime is 2302132002257. The next prime is 2302132002419. The reversal of 2302132002261 is 1622002312032.

It is not a de Polignac number, because 2302132002261 - 2² = 2302132002257 is a prime.

It is a super-2 number, since 2×2302132002261² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2302132002221) 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 127 ways as a sum of consecutive naturals, for example, 76444875 + ... + 76474983.

It is an arithmetic number, because the mean of its divisors is an integer number (30957897600).

Almost surely, 2^{2302132002261} is an apocalyptic number.

2302132002261 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2302132002261 is a deficient number, since it is larger than the sum of its proper divisors (1660478890539).

2302132002261 is a wasteful number, since it uses less digits than its factorization.

2302132002261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30339.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2302132002261 its reverse (1622002312032), we get a palindrome (3924134314293).

The spelling of 2302132002261 in words is "two trillion, three hundred two billion, one hundred thirty-two million, two thousand, two hundred sixty-one".