2135202048 has 162 divisors, whose sum is σ = 7161805014. Its totient is φ = 610025472.

The previous prime is 2135202019. The next prime is 2135202067. The reversal of 2135202048 is 8402025312.

It can be written as a sum of positive squares in only one way, i.e., 2118945024 + 16257024 = 46032^2 + 4032^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 103440 + ... + 122352.

Almost surely, 2^2135202048 is an apocalyptic number.

2135202048 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 2135202048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580902507).

2135202048 is an abundant number, since it is smaller than the sum of its proper divisors (5026602966).

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

2135202048 is a wasteful number, since it uses less digits than its factorization.

2135202048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18949 (or 18925 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2135202048 is about 46208.2465367384. The cubic root of 2135202048 is about 1287.6949498117.

The spelling of 2135202048 in words is "two billion, one hundred thirty-five million, two hundred two thousand, forty-eight".