2107274903712 has 504 divisors, whose sum is σ = 7022214102708. Its totient is φ = 621278760960.

The previous prime is 2107274903689. The next prime is 2107274903771. The reversal of 2107274903712 is 2173094727012.

2107274903712 is a `hidden beast` number, since 2 + 1 + 0 + 7 + 274 + 9 + 0 + 371 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1889294234256 + 217980669456 = 1374516^2 + 466884^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 104429368 + ... + 104449544.

Almost surely, 2^{2107274903712} is an apocalyptic number.

2107274903712 is a gapful number since it is divisible by the number (22) 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 2107274903712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3511107051354).

2107274903712 is an abundant number, since it is smaller than the sum of its proper divisors (4914939198996).

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

2107274903712 is a wasteful number, since it uses less digits than its factorization.

2107274903712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20264 (or 20230 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 2107274903712 in words is "two trillion, one hundred seven billion, two hundred seventy-four million, nine hundred three thousand, seven hundred twelve".