2820536640 has 560 divisors, whose sum is σ = 10973513232. Its totient is φ = 684785664.

The previous prime is 2820536639. The next prime is 2820536651. The reversal of 2820536640 is 466350282.

2820536640 is a `hidden beast` number, since 2 + 8 + 2 + 0 + 5 + 3 + 6 + 640 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 756470016 + 2064066624 = 27504^2 + 45432^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2820536595 and 2820536604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16303594 + ... + 16303766.

Almost surely, 2^2820536640 is an apocalyptic number.

2820536640 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 2820536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486756616).

2820536640 is an abundant number, since it is smaller than the sum of its proper divisors (8152976592).

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

2820536640 is a wasteful number, since it uses less digits than its factorization.

2820536640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2820536640 is about 53108.7247069632. The cubic root of 2820536640 is about 1412.8972567863.

The spelling of 2820536640 in words is "two billion, eight hundred twenty million, five hundred thirty-six thousand, six hundred forty".