2100885496704 has 192 divisors, whose sum is σ = 6277931936640. Its totient is φ = 699344948736.

The previous prime is 2100885496673. The next prime is 2100885496727. The reversal of 2100885496704 is 4076945880012.

It is a happy number.

2100885496704 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 8 + 85 + 496 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2100885496704² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23064819 + ... + 23155725.

It is an arithmetic number, because the mean of its divisors is an integer number (32697562170).

Almost surely, 2^{2100885496704} is an apocalyptic number.

2100885496704 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 2100885496704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3138965968320).

2100885496704 is an abundant number, since it is smaller than the sum of its proper divisors (4177046439936).

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

2100885496704 is an frugal number, since it uses more digits than its factorization.

2100885496704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91679 (or 91655 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 2100885496704 in words is "two trillion, one hundred billion, eight hundred eighty-five million, four hundred ninety-six thousand, seven hundred four".