2137676755266 has 192 divisors, whose sum is σ = 5292671569920. Its totient is φ = 635745024000.

The previous prime is 2137676755229. The next prime is 2137676755267. The reversal of 2137676755266 is 6625576767312.

2137676755266 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 6 + 76 + 7 + 552 + 6 + 6 = 666.

It is a super-3 number, since 3×2137676755266³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2137676755267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 776488546 + ... + 776491298.

It is an arithmetic number, because the mean of its divisors is an integer number (27565997760).

Almost surely, 2^{2137676755266} is an apocalyptic number.

2137676755266 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137676755266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646335784960).

2137676755266 is an abundant number, since it is smaller than the sum of its proper divisors (3154994814654).

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

2137676755266 is a wasteful number, since it uses less digits than its factorization.

2137676755266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3990 (or 3953 counting only the distinct ones).

The product of its digits is 133358400, while the sum is 63.

The spelling of 2137676755266 in words is "two trillion, one hundred thirty-seven billion, six hundred seventy-six million, seven hundred fifty-five thousand, two hundred sixty-six".