2761106417016 has 64 divisors (see below), whose sum is σ = 7371140659200. Its totient is φ = 859966396800.

The previous prime is 2761106416967. The next prime is 2761106417039. The reversal of 2761106417016 is 6107146011672.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63964020 + ... + 64007171.

It is an arithmetic number, because the mean of its divisors is an integer number (115174072800).

Almost surely, 2^{2761106417016} is an apocalyptic number.

It is an amenable number.

2761106417016 is an abundant number, since it is smaller than the sum of its proper divisors (4610034242184).

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

2761106417016 is a wasteful number, since it uses less digits than its factorization.

2761106417016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127971260 (or 127971256 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 2761106417016 in words is "two trillion, seven hundred sixty-one billion, one hundred six million, four hundred seventeen thousand, sixteen".