2261532672 has 270 divisors, whose sum is σ = 7624028958. Its totient is φ = 644087808.

The previous prime is 2261532671. The next prime is 2261532697. The reversal of 2261532672 is 2762351622.

2261532672 is a `hidden beast` number, since 2 + 2 + 61 + 532 + 67 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1221083136 + 1040449536 = 34944^2 + 32256^2 .

It is a super-2 number, since 2×2261532672² = 10229060053046919168, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261532671) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7225188 + ... + 7225500.

Almost surely, 2^2261532672 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 2261532672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3812014479).

2261532672 is an abundant number, since it is smaller than the sum of its proper divisors (5362496286).

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

2261532672 is an equidigital number, since it uses as much as digits as its factorization.

2261532672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 325 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 2261532672 is about 47555.5745628207. The cubic root of 2261532672 is about 1312.6057088193.

The spelling of 2261532672 in words is "two billion, two hundred sixty-one million, five hundred thirty-two thousand, six hundred seventy-two".