2631661362 has 96 divisors (see below), whose sum is σ = 6482571264. Its totient is φ = 764344800.

The previous prime is 2631661349. The next prime is 2631661369.

2631661362 is a `hidden beast` number, since 2 + 6 + 31 + 6 + 613 + 6 + 2 = 666.

2631661362 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2631661369) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 654763 + ... + 658769.

It is an arithmetic number, because the mean of its divisors is an integer number (67526784).

Almost surely, 2^2631661362 is an apocalyptic number.

2631661362 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2631661362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241285632).

2631661362 is an abundant number, since it is smaller than the sum of its proper divisors (3850909902).

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

2631661362 is a wasteful number, since it uses less digits than its factorization.

2631661362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4164 (or 4161 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 2631661362 is about 51299.7208764336. The cubic root of 2631661362 is about 1380.6279719157.

It can be divided in two parts, 26316 and 61362, that added together give a palindrome (87678).

The spelling of 2631661362 in words is "two billion, six hundred thirty-one million, six hundred sixty-one thousand, three hundred sixty-two".