2137761945 has 48 divisors (see below), whose sum is σ = 4060180800. Its totient is φ = 1031909760.

The previous prime is 2137761937. The next prime is 2137761947. The reversal of 2137761945 is 5491677312.

2137761945 is a `hidden beast` number, since 21 + 3 + 7 + 7 + 619 + 4 + 5 = 666.

It is not a de Polignac number, because 2137761945 - 2³ = 2137761937 is a prime.

It is a super-2 number, since 2×2137761945² = 9140052266980366050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2137761945.

It is not an unprimeable number, because it can be changed into a prime (2137761947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103926 + ... + 122784.

It is an arithmetic number, because the mean of its divisors is an integer number (84587100).

Almost surely, 2^2137761945 is an apocalyptic number.

It is an amenable number.

2137761945 is a deficient number, since it is larger than the sum of its proper divisors (1922418855).

2137761945 is a wasteful number, since it uses less digits than its factorization.

2137761945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19110 (or 19107 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 2137761945 is about 46235.9378081596. The cubic root of 2137761945 is about 1288.2093507758.

The spelling of 2137761945 in words is "two billion, one hundred thirty-seven million, seven hundred sixty-one thousand, nine hundred forty-five".