2012821335 has 192 divisors, whose sum is σ = 4521553920. Its totient is φ = 806215680.

The previous prime is 2012821309. The next prime is 2012821367. The reversal of 2012821335 is 5331282102.

It is not a de Polignac number, because 2012821335 - 2¹⁰ = 2012820311 is a prime.

It is a super-3 number, since 3×2012821335³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2012821299 and 2012821308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7427250 + ... + 7427520.

It is an arithmetic number, because the mean of its divisors is an integer number (23549760).

Almost surely, 2^2012821335 is an apocalyptic number.

2012821335 is an abundant number, since it is smaller than the sum of its proper divisors (2508732585).

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

2012821335 is a wasteful number, since it uses less digits than its factorization.

2012821335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2012821335 is about 44864.4774292535. The cubic root of 2012821335 is about 1262.6076287683.

The spelling of 2012821335 in words is "two billion, twelve million, eight hundred twenty-one thousand, three hundred thirty-five".