2261188992 has 128 divisors (see below), whose sum is σ = 6272143200. Its totient is φ = 721059840.

The previous prime is 2261188987. The next prime is 2261188997. The reversal of 2261188992 is 2998811622.

It is an interprime number because it is at equal distance from previous prime (2261188987) and next prime (2261188997).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2261188992² = 10225951315083952128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261188997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 865384 + ... + 867992.

Almost surely, 2^2261188992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261188992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136071600).

2261188992 is an abundant number, since it is smaller than the sum of its proper divisors (4010954208).

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

2261188992 is a wasteful number, since it uses less digits than its factorization.

2261188992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2712 counting only the distinct ones).

The product of its digits is 248832, while the sum is 48.

The square root of 2261188992 is about 47551.9609690284. The cubic root of 2261188992 is about 1312.5392142116.

The spelling of 2261188992 in words is "two billion, two hundred sixty-one million, one hundred eighty-eight thousand, nine hundred ninety-two".