2150019648 has 252 divisors, whose sum is σ = 7592176332. Its totient is φ = 578027520.

The previous prime is 2150019629. The next prime is 2150019667. The reversal of 2150019648 is 8469100512.

2150019648 is a `hidden beast` number, since 2 + 1 + 5 + 0 + 0 + 1 + 9 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (2150019629) and next prime (2150019667).

It can be written as a sum of positive squares in 2 ways, for example, as 1680344064 + 469675584 = 40992^2 + 21672^2 .

It is a tau number, because it is divible by the number of its divisors (252).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 477568 + ... + 482048.

Almost surely, 2^2150019648 is an apocalyptic number.

2150019648 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 2150019648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3796088166).

2150019648 is an abundant number, since it is smaller than the sum of its proper divisors (5442156684).

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

2150019648 is a wasteful number, since it uses less digits than its factorization.

2150019648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4530 (or 4510 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2150019648 is about 46368.3043468273. The cubic root of 2150019648 is about 1290.6668122813. Note that the first 3 decimals are identical.

The spelling of 2150019648 in words is "two billion, one hundred fifty million, nineteen thousand, six hundred forty-eight".