2260177761680 has 40 divisors (see below), whose sum is σ = 5564025846072. Its totient is φ = 850890450944.

The previous prime is 2260177761637. The next prime is 2260177761689. The reversal of 2260177761680 is 861677710622.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 583598212096 + 1676579549584 = 763936^2 + 1294828^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2260177761689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 830946347 + ... + 830949066.

Almost surely, 2^{2260177761680} is an apocalyptic number.

2260177761680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2260177761680 is an abundant number, since it is smaller than the sum of its proper divisors (3303848084392).

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

2260177761680 is a wasteful number, since it uses less digits than its factorization.

2260177761680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661895443 (or 1661895437 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 53.

The spelling of 2260177761680 in words is "two trillion, two hundred sixty billion, one hundred seventy-seven million, seven hundred sixty-one thousand, six hundred eighty".