2100560926464 has 2592 divisors, whose sum is σ = 8834624547840. Its totient is φ = 489104179200.

The previous prime is 2100560926441. The next prime is 2100560926469. The reversal of 2100560926464 is 4646290650012.

2100560926464 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 560 + 9 + 26 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100560926469) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 26589378777 + ... + 26589378855.

Almost surely, 2^{2100560926464} is an apocalyptic number.

2100560926464 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 2100560926464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4417312273920).

2100560926464 is an abundant number, since it is smaller than the sum of its proper divisors (6734063621376).

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

2100560926464 is a wasteful number, since it uses less digits than its factorization.

2100560926464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 2100560926464 in words is "two trillion, one hundred billion, five hundred sixty million, nine hundred twenty-six thousand, four hundred sixty-four".