2261624531607 has 16 divisors (see below), whose sum is σ = 3829205556480. Its totient is φ = 1292356875096.

The previous prime is 2261624531603. The next prime is 2261624531629. The reversal of 2261624531607 is 7061354261622.

2261624531607 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 6 + 2 + 4 + 5 + 31 + 607 = 666.

2261624531607 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2261624531607 - 2² = 2261624531603 is a prime.

It is a super-2 number, since 2×2261624531607² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261624531603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5983133493 + ... + 5983133870.

It is an arithmetic number, because the mean of its divisors is an integer number (239325347280).

Almost surely, 2^{2261624531607} is an apocalyptic number.

2261624531607 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2261624531607 is a deficient number, since it is larger than the sum of its proper divisors (1567581024873).

2261624531607 is a wasteful number, since it uses less digits than its factorization.

2261624531607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11966267379 (or 11966267373 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 2261624531607 in words is "two trillion, two hundred sixty-one billion, six hundred twenty-four million, five hundred thirty-one thousand, six hundred seven".