2102165356704 has 384 divisors, whose sum is σ = 6575733964800. Its totient is φ = 575324037120.

The previous prime is 2102165356703. The next prime is 2102165356783. The reversal of 2102165356704 is 4076535612012.

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

It is not an unprimeable number, because it can be changed into a prime (2102165356703) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2452934644 + ... + 2452935500.

It is an arithmetic number, because the mean of its divisors is an integer number (17124307200).

Almost surely, 2^{2102165356704} is an apocalyptic number.

2102165356704 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 2102165356704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3287866982400).

2102165356704 is an abundant number, since it is smaller than the sum of its proper divisors (4473568608096).

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

2102165356704 is a wasteful number, since it uses less digits than its factorization.

2102165356704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 2102165356704 in words is "two trillion, one hundred two billion, one hundred sixty-five million, three hundred fifty-six thousand, seven hundred four".