2261591948 has 24 divisors (see below), whose sum is σ = 4934383104. Its totient is φ = 881139600.

The previous prime is 2261591947. The next prime is 2261591951. The reversal of 2261591948 is 8491951622.

It is a happy number.

It is a super-2 number, since 2×2261591948² = 10229596278516869408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2261591947) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3671108 + ... + 3671723.

It is an arithmetic number, because the mean of its divisors is an integer number (205599296).

Almost surely, 2^2261591948 is an apocalyptic number.

2261591948 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2261591948 is an abundant number, since it is smaller than the sum of its proper divisors (2672791156).

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

2261591948 is a wasteful number, since it uses less digits than its factorization.

2261591948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7342853 (or 7342851 counting only the distinct ones).

The product of its digits is 311040, while the sum is 47.

The square root of 2261591948 is about 47556.1977874598. The cubic root of 2261591948 is about 1312.6171767554.

The spelling of 2261591948 in words is "two billion, two hundred sixty-one million, five hundred ninety-one thousand, nine hundred forty-eight".