2820309114240 has 640 divisors, whose sum is σ = 10193228179200. Its totient is φ = 743076052992.

The previous prime is 2820309114239. The next prime is 2820309114241. The reversal of 2820309114240 is 424119030282.

2820309114240 is a `hidden beast` number, since 28 + 203 + 0 + 9 + 1 + 1 + 424 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2820309114239) and next prime (2820309114241).

It is a tau number, because it is divible by the number of its divisors (640).

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 = 2820309114195 and 2820309114204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2820309114241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1603358481 + ... + 1603360239.

It is an arithmetic number, because the mean of its divisors is an integer number (15926919030).

Almost surely, 2^{2820309114240} is an apocalyptic number.

2820309114240 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 2820309114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5096614089600).

2820309114240 is an abundant number, since it is smaller than the sum of its proper divisors (7372919064960).

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

2820309114240 is a wasteful number, since it uses less digits than its factorization.

2820309114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 2820309114240 in words is "two trillion, eight hundred twenty billion, three hundred nine million, one hundred fourteen thousand, two hundred forty".