2820690048 has 192 divisors, whose sum is σ = 8722395360. Its totient is φ = 804249600.

The previous prime is 2820690043. The next prime is 2820690053. The reversal of 2820690048 is 8400960282.

It is an interprime number because it is at equal distance from previous prime (2820690043) and next prime (2820690053).

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 2820689988 and 2820690015.

It is not an unprimeable number, because it can be changed into a prime (2820690043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 788103 + ... + 791673.

Almost surely, 2^2820690048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2820690048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4361197680).

2820690048 is an abundant number, since it is smaller than the sum of its proper divisors (5901705312).

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

2820690048 is a wasteful number, since it uses less digits than its factorization.

2820690048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3627 (or 3604 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 2820690048 is about 53110.1689697933. The cubic root of 2820690048 is about 1412.9228719842.

The spelling of 2820690048 in words is "two billion, eight hundred twenty million, six hundred ninety thousand, forty-eight".