2120887461 has 32 divisors (see below), whose sum is σ = 3530290176. Its totient is φ = 1100304000.

The previous prime is 2120887441. The next prime is 2120887481. The reversal of 2120887461 is 1647880212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2120887441) and next prime (2120887481).

It is not a de Polignac number, because 2120887461 - 2¹⁵ = 2120854693 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120887441) 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 31 ways as a sum of consecutive naturals, for example, 181681 + ... + 193001.

It is an arithmetic number, because the mean of its divisors is an integer number (110321568).

Almost surely, 2^2120887461 is an apocalyptic number.

2120887461 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2120887461 is a deficient number, since it is larger than the sum of its proper divisors (1409402715).

2120887461 is a wasteful number, since it uses less digits than its factorization.

2120887461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12153.

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 2120887461 is about 46053.0939351527. The cubic root of 2120887461 is about 1284.8108875004.

The spelling of 2120887461 in words is "two billion, one hundred twenty million, eight hundred eighty-seven thousand, four hundred sixty-one".