2821006353120 has 48 divisors (see below), whose sum is σ = 8886170013840. Its totient is φ = 752268360704.

The previous prime is 2821006353101. The next prime is 2821006353127. The reversal of 2821006353120 is 213536001282.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2821006353127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2938547805 + ... + 2938548764.

It is an arithmetic number, because the mean of its divisors is an integer number (185128541955).

Almost surely, 2^{2821006353120} is an apocalyptic number.

2821006353120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2821006353120 is an abundant number, since it is smaller than the sum of its proper divisors (6065163660720).

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

2821006353120 is a wasteful number, since it uses less digits than its factorization.

2821006353120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5877096587 (or 5877096579 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 2821006353120 in words is "two trillion, eight hundred twenty-one billion, six million, three hundred fifty-three thousand, one hundred twenty".