2221825821696 has 220 divisors, whose sum is σ = 7145179464192. Its totient is φ = 683638382592.

The previous prime is 2221825821671. The next prime is 2221825821701. The reversal of 2221825821696 is 6961285281222.

2221825821696 is a `hidden beast` number, since 2 + 221 + 8 + 258 + 2 + 169 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48001 + ... + 2108543.

Almost surely, 2^{2221825821696} is an apocalyptic number.

2221825821696 is a gapful number since it is divisible by the number (26) 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 2221825821696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572589732096).

2221825821696 is an abundant number, since it is smaller than the sum of its proper divisors (4923353642496).

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

2221825821696 is a wasteful number, since it uses less digits than its factorization.

2221825821696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060588 (or 2060561 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 2221825821696 in words is "two trillion, two hundred twenty-one billion, eight hundred twenty-five million, eight hundred twenty-one thousand, six hundred ninety-six".