2107088738496 has 1344 divisors, whose sum is σ = 7627131832320. Its totient is φ = 564350976000.

The previous prime is 2107088738479. The next prime is 2107088738497. The reversal of 2107088738496 is 6948378807012.

2107088738496 is a `hidden beast` number, since 2 + 1 + 0 + 70 + 8 + 8 + 73 + 8 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2107088738497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19331089290 + ... + 19331089398.

It is an arithmetic number, because the mean of its divisors is an integer number (5674949280).

Almost surely, 2^{2107088738496} 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 2107088738496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3813565916160).

2107088738496 is an abundant number, since it is smaller than the sum of its proper divisors (5520043093824).

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

2107088738496 is a wasteful number, since it uses less digits than its factorization.

2107088738496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 2107088738496 in words is "two trillion, one hundred seven billion, eighty-eight million, seven hundred thirty-eight thousand, four hundred ninety-six".