2820426891933 has 256 divisors, whose sum is σ = 4818626150400. Its totient is φ = 1432570613760.

The previous prime is 2820426891817. The next prime is 2820426891973. The reversal of 2820426891933 is 3391986240282.

2820426891933 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2820426891933 - 2⁹ = 2820426891421 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2820426891973) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7685086716 + ... + 7685087082.

It is an arithmetic number, because the mean of its divisors is an integer number (18822758400).

Almost surely, 2^{2820426891933} is an apocalyptic number.

2820426891933 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2820426891933 is a deficient number, since it is larger than the sum of its proper divisors (1998199258467).

2820426891933 is a wasteful number, since it uses less digits than its factorization.

2820426891933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672.

The product of its (nonzero) digits is 8957952, while the sum is 57.

The spelling of 2820426891933 in words is "two trillion, eight hundred twenty billion, four hundred twenty-six million, eight hundred ninety-one thousand, nine hundred thirty-three".