2106466002564 has 96 divisors (see below), whose sum is σ = 6145561691136. Its totient is φ = 545557188480.

The previous prime is 2106466002551. The next prime is 2106466002593. The reversal of 2106466002564 is 4652006646012.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 2964279 + ... + 3605534.

It is an arithmetic number, because the mean of its divisors is an integer number (64016267616).

Almost surely, 2^{2106466002564} is an apocalyptic number.

It is an amenable number.

2106466002564 is an abundant number, since it is smaller than the sum of its proper divisors (4039095688572).

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

2106466002564 is a wasteful number, since it uses less digits than its factorization.

2106466002564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6570185 (or 6570183 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 2106466002564 in words is "two trillion, one hundred six billion, four hundred sixty-six million, two thousand, five hundred sixty-four".