2106517038264 has 48 divisors (see below), whose sum is σ = 5709981321720. Its totient is φ = 701577760320.

The previous prime is 2106517038259. The next prime is 2106517038271. The reversal of 2106517038264 is 4628307156012.

2106517038264 is a `hidden beast` number, since 2 + 106 + 517 + 0 + 3 + 8 + 26 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12301582 + ... + 12471645.

Almost surely, 2^{2106517038264} is an apocalyptic number.

2106517038264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2106517038264 is an abundant number, since it is smaller than the sum of its proper divisors (3603464283456).

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

2106517038264 is a wasteful number, since it uses less digits than its factorization.

2106517038264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24774420 (or 24774413 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2106517038264 in words is "two trillion, one hundred six billion, five hundred seventeen million, thirty-eight thousand, two hundred sixty-four".