2821101696 has 336 divisors, whose sum is σ = 9818014590. Its totient is φ = 804722688.

The previous prime is 2821101683. The next prime is 2821101733. The reversal of 2821101696 is 6961011282.

It can be written as a sum of positive squares in only one way, i.e., 2800526400 + 20575296 = 52920^2 + 4536^2 .

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×2821101696² = 15917229558348152832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2821101696.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4571980 + ... + 4572596.

Almost surely, 2^2821101696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2821101696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4909007295).

2821101696 is an abundant number, since it is smaller than the sum of its proper divisors (6996912894).

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

2821101696 is an frugal number, since it uses more digits than its factorization.

2821101696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 2821101696 is about 53114.0442444369. The cubic root of 2821101696 is about 1412.9916020435.

The spelling of 2821101696 in words is "two billion, eight hundred twenty-one million, one hundred one thousand, six hundred ninety-six".