2261996352 has 168 divisors, whose sum is σ = 8083612992. Its totient is φ = 587520000.

The previous prime is 2261996351. The next prime is 2261996377. The reversal of 2261996352 is 2536991622.

2261996352 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 9 + 9 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×2261996352² = 10233254992922615808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2261996298 and 2261996307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261996351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18852 + ... + 69852.

It is an arithmetic number, because the mean of its divisors is an integer number (48116744).

Almost surely, 2^2261996352 is an apocalyptic number.

2261996352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261996352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041806496).

2261996352 is an abundant number, since it is smaller than the sum of its proper divisors (5821616640).

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

2261996352 is a wasteful number, since it uses less digits than its factorization.

2261996352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51037 (or 51024 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 2261996352 is about 47560.4494511984. The cubic root of 2261996352 is about 1312.6954101432.

The spelling of 2261996352 in words is "two billion, two hundred sixty-one million, nine hundred ninety-six thousand, three hundred fifty-two".