2761808265216 has 2160 divisors, whose sum is σ = 11406832311840. Its totient is φ = 662171811840.

The previous prime is 2761808265163. The next prime is 2761808265233. The reversal of 2761808265216 is 6125628081672.

2761808265216 is a `hidden beast` number, since 2 + 7 + 618 + 0 + 8 + 2 + 6 + 5 + 2 + 16 = 666.

It is a super-2 number, since 2×2761808265216² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 212446789626 + ... + 212446789638.

Almost surely, 2^{2761808265216} is an apocalyptic number.

2761808265216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2761808265216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5703416155920).

2761808265216 is an abundant number, since it is smaller than the sum of its proper divisors (8645024046624).

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

2761808265216 is an frugal number, since it uses more digits than its factorization.

2761808265216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 2761808265216 in words is "two trillion, seven hundred sixty-one billion, eight hundred eight million, two hundred sixty-five thousand, two hundred sixteen".