2820612326400 has 1320 divisors, whose sum is σ = 11764379531520. Its totient is φ = 661561344000.

The previous prime is 2820612326359. The next prime is 2820612326419. The reversal of 2820612326400 is 46232160282.

2820612326400 is a `hidden beast` number, since 2 + 8 + 2 + 0 + 6 + 1 + 2 + 3 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

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 (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 707095606 + ... + 707099594.

It is an arithmetic number, because the mean of its divisors is an integer number (8912408736).

Almost surely, 2^{2820612326400} is an apocalyptic number.

2820612326400 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 2820612326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5882189765760).

2820612326400 is an abundant number, since it is smaller than the sum of its proper divisors (8943767205120).

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

2820612326400 is a wasteful number, since it uses less digits than its factorization.

2820612326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4073 (or 4041 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 2820612326400 its reverse (46232160282), we get a palindrome (2866844486682).

The spelling of 2820612326400 in words is "two trillion, eight hundred twenty billion, six hundred twelve million, three hundred twenty-six thousand, four hundred".