2314008648 has 160 divisors (see below), whose sum is σ = 7529607360. Its totient is φ = 650229120.

The previous prime is 2314008617. The next prime is 2314008649. The reversal of 2314008648 is 8468004132.

2314008648 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 0 + 0 + 8 + 648 = 666.

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 (2314008649) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 272515 + ... + 280877.

It is an arithmetic number, because the mean of its divisors is an integer number (47060046).

Almost surely, 2^2314008648 is an apocalyptic number.

2314008648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2314008648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764803680).

2314008648 is an abundant number, since it is smaller than the sum of its proper divisors (5215598712).

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

2314008648 is a wasteful number, since it uses less digits than its factorization.

2314008648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8449 (or 8436 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2314008648 is about 48104.1437716129. The cubic root of 2314008648 is about 1322.6806269370.

The spelling of 2314008648 in words is "two billion, three hundred fourteen million, eight thousand, six hundred forty-eight".