2261742406032 has 80 divisors (see below), whose sum is σ = 6002310331520. Its totient is φ = 733347219456.

The previous prime is 2261742405991. The next prime is 2261742406087. The reversal of 2261742406032 is 2306042471622.

It is a super-2 number, since 2×2261742406032² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6743133 + ... + 7070595.

It is an arithmetic number, because the mean of its divisors is an integer number (75028879144).

Almost surely, 2^{2261742406032} 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 2261742406032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001155165760).

2261742406032 is an abundant number, since it is smaller than the sum of its proper divisors (3740567925488).

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

2261742406032 is a wasteful number, since it uses less digits than its factorization.

2261742406032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331400 (or 331394 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

Adding to 2261742406032 its reverse (2306042471622), we get a palindrome (4567784877654).

The spelling of 2261742406032 in words is "two trillion, two hundred sixty-one billion, seven hundred forty-two million, four hundred six thousand, thirty-two".