2261562632 has 64 divisors (see below), whose sum is σ = 5146053120. Its totient is φ = 909600768.

The previous prime is 2261562599. The next prime is 2261562643. The reversal of 2261562632 is 2362651622.

It is a super-2 number, since 2×2261562632² = 10229331076917534848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2261562592 and 2261562601.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 346148 + ... + 352620.

It is an arithmetic number, because the mean of its divisors is an integer number (80407080).

Almost surely, 2^2261562632 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 2261562632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573026560).

2261562632 is an abundant number, since it is smaller than the sum of its proper divisors (2884490488).

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

2261562632 is a wasteful number, since it uses less digits than its factorization.

2261562632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6870 (or 6866 counting only the distinct ones).

The product of its digits is 51840, while the sum is 35.

The square root of 2261562632 is about 47555.8895616516. The cubic root of 2261562632 is about 1312.6115051087.

The spelling of 2261562632 in words is "two billion, two hundred sixty-one million, five hundred sixty-two thousand, six hundred thirty-two".