2442237561 has 75 divisors (see below), whose sum is σ = 4091048841. Its totient is φ = 1451732544.

The previous prime is 2442237517. The next prime is 2442237571. The reversal of 2442237561 is 1657322442.

The square root of 2442237561 is 49419.

It is a perfect power (a square), and thus also a powerful number.

2442237561 is a `hidden beast` number, since 2 + 44 + 22 + 37 + 561 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 757955961 + 1684281600 = 27531^2 + 41040^2 .

It is not a de Polignac number, because 2442237561 - 2⁷ = 2442237433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2442237571) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 128538810 + ... + 128538828.

Almost surely, 2^2442237561 is an apocalyptic number.

2442237561 is the 49419-th square number.

2442237561 is the 24710-th centered octagonal number.

It is an amenable number.

2442237561 is a deficient number, since it is larger than the sum of its proper divisors (1648811280).

2442237561 is an frugal number, since it uses more digits than its factorization.

2442237561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 39 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The cubic root of 2442237561 is about 1346.6744963750.

Multiplying 2442237561 by its sum of digits (36), we get a square (87920552196 = 296514²).

The spelling of 2442237561 in words is "two billion, four hundred forty-two million, two hundred thirty-seven thousand, five hundred sixty-one".