2821385335496 has 384 divisors, whose sum is σ = 6791198515200. Its totient is φ = 1075495449600.

The previous prime is 2821385335493. The next prime is 2821385335541. The reversal of 2821385335496 is 6945335831282.

2821385335496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2821385335496² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2821385335493) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7564035566 + ... + 7564035938.

It is an arithmetic number, because the mean of its divisors is an integer number (17685412800).

Almost surely, 2^{2821385335496} is an apocalyptic number.

2821385335496 is a gapful number since it is divisible by the number (26) 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 2821385335496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395599257600).

2821385335496 is an abundant number, since it is smaller than the sum of its proper divisors (3969813179704).

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

2821385335496 is a wasteful number, since it uses less digits than its factorization.

2821385335496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 692 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 59.

The spelling of 2821385335496 in words is "two trillion, eight hundred twenty-one billion, three hundred eighty-five million, three hundred thirty-five thousand, four hundred ninety-six".