2084367648 has 96 divisors (see below), whose sum is σ = 6002760960. Its totient is φ = 628040960.

The previous prime is 2084367643. The next prime is 2084367653. The reversal of 2084367648 is 8467634802.

It is an interprime number because it is at equal distance from previous prime (2084367643) and next prime (2084367653).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2084367597 and 2084367606.

It is not an unprimeable number, because it can be changed into a prime (2084367643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183511 + ... + 194537.

It is an arithmetic number, because the mean of its divisors is an integer number (62528760).

Almost surely, 2^2084367648 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 2084367648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001380480).

2084367648 is an abundant number, since it is smaller than the sum of its proper divisors (3918393312).

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

2084367648 is a wasteful number, since it uses less digits than its factorization.

2084367648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11230 (or 11222 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The square root of 2084367648 is about 45654.8754023051. The cubic root of 2084367648 is about 1277.3937137100.

The spelling of 2084367648 in words is "two billion, eighty-four million, three hundred sixty-seven thousand, six hundred forty-eight".