2101505600664 has 48 divisors (see below), whose sum is σ = 5743793998800. Its totient is φ = 694075241664.

The previous prime is 2101505600641. The next prime is 2101505600693. The reversal of 2101505600664 is 4660065051012.

2101505600664 is a `hidden beast` number, since 21 + 0 + 15 + 0 + 560 + 0 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133880124 + ... + 133895819.

It is an arithmetic number, because the mean of its divisors is an integer number (119662374975).

Almost surely, 2^{2101505600664} is an apocalyptic number.

2101505600664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2101505600664 is an abundant number, since it is smaller than the sum of its proper divisors (3642288398136).

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

2101505600664 is a wasteful number, since it uses less digits than its factorization.

2101505600664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267776064 (or 267776057 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 2101505600664 in words is "two trillion, one hundred one billion, five hundred five million, six hundred thousand, six hundred sixty-four".