2107812573504 has 1792 divisors, whose sum is σ = 7813616762880. Its totient is φ = 553999564800.

The previous prime is 2107812573431. The next prime is 2107812573509. The reversal of 2107812573504 is 4053752187012.

2107812573504 is a `hidden beast` number, since 2 + 1 + 0 + 78 + 1 + 2 + 5 + 73 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2107812573504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2107812573509) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 44847076009 + ... + 44847076055.

Almost surely, 2^{2107812573504} is an apocalyptic number.

2107812573504 is a gapful number since it is divisible by the number (24) 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 2107812573504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906808381440).

2107812573504 is an abundant number, since it is smaller than the sum of its proper divisors (5705804189376).

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

2107812573504 is a wasteful number, since it uses less digits than its factorization.

2107812573504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 2107812573504 in words is "two trillion, one hundred seven billion, eight hundred twelve million, five hundred seventy-three thousand, five hundred four".