2820303749376 has 243 divisors, whose sum is σ = 8285763831709. Its totient is φ = 922608869376.

The previous prime is 2820303749371. The next prime is 2820303749377. The reversal of 2820303749376 is 6739473030282.

The square root of 2820303749376 is 1679376.

It is a perfect power (a square), and thus also a powerful number.

2820303749376 is a `hidden beast` number, since 2 + 8 + 20 + 30 + 37 + 493 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1734172934400 + 1086130814976 = 1316880^2 + 1042176^2 .

It is a super-2 number, since 2×2820303749376² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2820303749371) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4755992536 + ... + 4755993128.

Almost surely, 2^{2820303749376} is an apocalyptic number.

2820303749376 is the 1679376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2820303749376

2820303749376 is an abundant number, since it is smaller than the sum of its proper divisors (5465460082333).

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

2820303749376 is an frugal number, since it uses more digits than its factorization.

2820303749376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 2820303749376 in words is "two trillion, eight hundred twenty billion, three hundred three million, seven hundred forty-nine thousand, three hundred seventy-six".