2261423120 has 40 divisors (see below), whose sum is σ = 5735793600. Its totient is φ = 822335360.

The previous prime is 2261423119. The next prime is 2261423137. The reversal of 2261423120 is 213241622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2261423120² = 10228069055341068800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1284020 + ... + 1285779.

It is an arithmetic number, because the mean of its divisors is an integer number (143394840).

Almost surely, 2^2261423120 is an apocalyptic number.

2261423120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2261423120 is an abundant number, since it is smaller than the sum of its proper divisors (3474370480).

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

2261423120 is a wasteful number, since it uses less digits than its factorization.

2261423120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569823 (or 2569817 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2261423120 is about 47554.4227175559. The cubic root of 2261423120 is about 1312.5845136207.

Adding to 2261423120 its reverse (213241622), we get a palindrome (2474664742).

The spelling of 2261423120 in words is "two billion, two hundred sixty-one million, four hundred twenty-three thousand, one hundred twenty".