2261577744 has 60 divisors (see below), whose sum is σ = 6349624476. Its totient is φ = 751435776.

The previous prime is 2261577743. The next prime is 2261577761. The reversal of 2261577744 is 4477751622.

2261577744 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 577 + 74 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1211040000 + 1050537744 = 34800^2 + 32412^2 .

It is a super-2 number, since 2×2261577744² = 10229467784312259072, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2261577744.

It is not an unprimeable number, because it can be changed into a prime (2261577743) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19984 + ... + 70160.

Almost surely, 2^2261577744 is an apocalyptic number.

2261577744 is a gapful number since it is divisible by the number (24) 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 2261577744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174812238).

2261577744 is an abundant number, since it is smaller than the sum of its proper divisors (4088046732).

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

2261577744 is a wasteful number, since it uses less digits than its factorization.

2261577744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50504 (or 50495 counting only the distinct ones).

The product of its digits is 658560, while the sum is 45.

The square root of 2261577744 is about 47556.0484481207. The cubic root of 2261577744 is about 1312.6144287717.

The spelling of 2261577744 in words is "two billion, two hundred sixty-one million, five hundred seventy-seven thousand, seven hundred forty-four".