2002514148 has 144 divisors (see below), whose sum is σ = 5497390080. Its totient is φ = 613170432.

The previous prime is 2002514147. The next prime is 2002514149. The reversal of 2002514148 is 8414152002.

2002514148 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 514 + 148 = 666.

It is an interprime number because it is at equal distance from previous prime (2002514147) and next prime (2002514149).

It is not an unprimeable number, because it can be changed into a prime (2002514141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1814965 + ... + 1816067.

It is an arithmetic number, because the mean of its divisors is an integer number (38176320).

Almost surely, 2^2002514148 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 2002514148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748695040).

2002514148 is an abundant number, since it is smaller than the sum of its proper divisors (3494875932).

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

2002514148 is a wasteful number, since it uses less digits than its factorization.

2002514148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2002514148 is about 44749.4597509288. The cubic root of 2002514148 is about 1260.4487668282.

The spelling of 2002514148 in words is "two billion, two million, five hundred fourteen thousand, one hundred forty-eight".