2821253760 has 512 divisors, whose sum is σ = 11344032000. Its totient is φ = 656916480.

The previous prime is 2821253731. The next prime is 2821253789. The reversal of 2821253760 is 673521282.

2821253760 is a `hidden beast` number, since 282 + 1 + 2 + 5 + 376 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2821253731) and next prime (2821253789).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4267830 + ... + 4268490.

Almost surely, 2^2821253760 is an apocalyptic number.

2821253760 is a gapful number since it is divisible by the number (20) 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 2821253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5672016000).

2821253760 is an abundant number, since it is smaller than the sum of its proper divisors (8522778240).

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

2821253760 is a wasteful number, since it uses less digits than its factorization.

2821253760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2821253760 is about 53115.4757109451. The cubic root of 2821253760 is about 1413.0169894415.

The spelling of 2821253760 in words is "two billion, eight hundred twenty-one million, two hundred fifty-three thousand, seven hundred sixty".