2761668341532 has 72 divisors (see below), whose sum is σ = 7071416352000. Its totient is φ = 908624909088.

The previous prime is 2761668341489. The next prime is 2761668341533. The reversal of 2761668341532 is 2351438661672.

2761668341532 is a `hidden beast` number, since 2 + 7 + 6 + 1 + 6 + 68 + 3 + 41 + 532 = 666.

It is a super-2 number, since 2×2761668341532² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2761668341533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9235183 + ... + 9529529.

It is an arithmetic number, because the mean of its divisors is an integer number (98214116000).

Almost surely, 2^{2761668341532} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2761668341532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535708176000).

2761668341532 is an abundant number, since it is smaller than the sum of its proper divisors (4309748010468).

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

2761668341532 is a wasteful number, since it uses less digits than its factorization.

2761668341532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297735 (or 297730 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 2761668341532 in words is "two trillion, seven hundred sixty-one billion, six hundred sixty-eight million, three hundred forty-one thousand, five hundred thirty-two".