2821495680 has 320 divisors, whose sum is σ = 10355431680. Its totient is φ = 731566080.

The previous prime is 2821495667. The next prime is 2821495693. The reversal of 2821495680 is 865941282.

2821495680 is a `hidden beast` number, since 2 + 82 + 1 + 4 + 9 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2821495667) and next prime (2821495693).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1917345 + ... + 1918815.

It is an arithmetic number, because the mean of its divisors is an integer number (32360724).

Almost surely, 2^2821495680 is an apocalyptic number.

2821495680 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 2821495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5177715840).

2821495680 is an abundant number, since it is smaller than the sum of its proper divisors (7533936000).

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

2821495680 is a wasteful number, since it uses less digits than its factorization.

2821495680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2821495680 is about 53117.7529645221. The cubic root of 2821495680 is about 1413.0573766037.

It can be divided in two parts, 2821 and 495680, that added together give a triangular number (498501 = T₉₉₈).

The spelling of 2821495680 in words is "two billion, eight hundred twenty-one million, four hundred ninety-five thousand, six hundred eighty".