2035131648 has 288 divisors, whose sum is σ = 6436147200. Its totient is φ = 564019200.

The previous prime is 2035131647. The next prime is 2035131671. The reversal of 2035131648 is 8461315302.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2035131647) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4975668 + ... + 4976076.

Almost surely, 2^2035131648 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 2035131648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218073600).

2035131648 is an abundant number, since it is smaller than the sum of its proper divisors (4401015552).

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

2035131648 is a wasteful number, since it uses less digits than its factorization.

2035131648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2035131648 is about 45112.4334080972. The cubic root of 2035131648 is about 1267.2554549244.

The spelling of 2035131648 in words is "two billion, thirty-five million, one hundred thirty-one thousand, six hundred forty-eight".