2100802289664 has 136 divisors (see below), whose sum is σ = 6033034553392. Its totient is φ = 646399918080.

The previous prime is 2100802289647. The next prime is 2100802289669. The reversal of 2100802289664 is 4669822080012.

It is a happy number.

It is a super-2 number, since 2×2100802289664² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2100802289669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2144934 + ... + 2966874.

Almost surely, 2^{2100802289664} is an apocalyptic number.

2100802289664 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 2100802289664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016517276696).

2100802289664 is an abundant number, since it is smaller than the sum of its proper divisors (3932232263728).

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

2100802289664 is an frugal number, since it uses more digits than its factorization.

2100802289664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821989 (or 821959 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 2100802289664 in words is "two trillion, one hundred billion, eight hundred two million, two hundred eighty-nine thousand, six hundred sixty-four".