2114820648 has 96 divisors (see below), whose sum is σ = 5869618560. Its totient is φ = 687571200.

The previous prime is 2114820647. The next prime is 2114820649. The reversal of 2114820648 is 8460284112.

2114820648 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 8 + 2 + 0 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (2114820647) and next prime (2114820649).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2114820647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1173348 + ... + 1175148.

It is an arithmetic number, because the mean of its divisors is an integer number (61141860).

Almost surely, 2^2114820648 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 2114820648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2934809280).

2114820648 is an abundant number, since it is smaller than the sum of its proper divisors (3754797912).

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

2114820648 is a wasteful number, since it uses less digits than its factorization.

2114820648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2114820648 is about 45987.1791698512. The cubic root of 2114820648 is about 1283.5846474408.

The spelling of 2114820648 in words is "two billion, one hundred fourteen million, eight hundred twenty thousand, six hundred forty-eight".