2107065337040 has 40 divisors (see below), whose sum is σ = 4947431154408. Its totient is φ = 834481318400.

The previous prime is 2107065336983. The next prime is 2107065337043. The reversal of 2107065337040 is 407335607012.

It can be written as a sum of positive squares in 4 ways, for example, as 579626414224 + 1527438922816 = 761332^2 + 1235896^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2107065336985 and 2107065337003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2107065337043) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 130379627 + ... + 130395786.

Almost surely, 2^{2107065337040} is an apocalyptic number.

2107065337040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2107065337040 is an abundant number, since it is smaller than the sum of its proper divisors (2840365817368).

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

2107065337040 is a wasteful number, since it uses less digits than its factorization.

2107065337040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260775527 (or 260775521 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 38.

The spelling of 2107065337040 in words is "two trillion, one hundred seven billion, sixty-five million, three hundred thirty-seven thousand, forty".