2821579488 has 384 divisors, whose sum is σ = 10729635840. Its totient is φ = 700047360.

The previous prime is 2821579463. The next prime is 2821579489. The reversal of 2821579488 is 8849751282.

2821579488 is a `hidden beast` number, since 2 + 8 + 2 + 157 + 9 + 488 = 666.

It is a super-2 number, since 2×2821579488² = 15922621614204684288, 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 (2821579489) 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, 1335553 + ... + 1337663.

It is an arithmetic number, because the mean of its divisors is an integer number (27941760).

Almost surely, 2^2821579488 is an apocalyptic number.

2821579488 is a gapful number since it is divisible by the number (28) 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 2821579488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5364817920).

2821579488 is an abundant number, since it is smaller than the sum of its proper divisors (7908056352).

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

2821579488 is a wasteful number, since it uses less digits than its factorization.

2821579488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2167 (or 2153 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The square root of 2821579488 is about 53118.5418474566. The cubic root of 2821579488 is about 1413.0713673322.

The spelling of 2821579488 in words is "two billion, eight hundred twenty-one million, five hundred seventy-nine thousand, four hundred eighty-eight".