2821855968 has 144 divisors (see below), whose sum is σ = 8406596016. Its totient is φ = 931046400.

The previous prime is 2821855963. The next prime is 2821855969. The reversal of 2821855968 is 8695581282.

It is a happy number.

2821855968 is a `hidden beast` number, since 2 + 8 + 21 + 8 + 559 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2821855968² = 15925742208274434048, which 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 not an unprimeable number, because it can be changed into a prime (2821855961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783580 + ... + 787172.

It is an arithmetic number, because the mean of its divisors is an integer number (58379139).

Almost surely, 2^2821855968 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 2821855968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4203298008).

2821855968 is an abundant number, since it is smaller than the sum of its proper divisors (5584740048).

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

2821855968 is a wasteful number, since it uses less digits than its factorization.

2821855968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3719 (or 3699 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 54.

The square root of 2821855968 is about 53121.1442647841. The cubic root of 2821855968 is about 1413.1175203484.

The spelling of 2821855968 in words is "two billion, eight hundred twenty-one million, eight hundred fifty-five thousand, nine hundred sixty-eight".