2261115648 has 360 divisors, whose sum is σ = 7692765696. Its totient is φ = 653875200.

The previous prime is 2261115611. The next prime is 2261115667. The reversal of 2261115648 is 8465111622.

It is a happy number.

2261115648 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 1 + 1 + 5 + 648 = 666.

It is a super-3 number, since 3×2261115648³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5245993 + ... + 5246423.

Almost surely, 2^2261115648 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 2261115648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3846382848).

2261115648 is an abundant number, since it is smaller than the sum of its proper divisors (5431650048).

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

2261115648 is a wasteful number, since it uses less digits than its factorization.

2261115648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 470 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 2261115648 is about 47551.1897642951. The cubic root of 2261115648 is about 1312.5250228699.

The spelling of 2261115648 in words is "two billion, two hundred sixty-one million, one hundred fifteen thousand, six hundred forty-eight".