2035021968 has 240 divisors, whose sum is σ = 7045549056. Its totient is φ = 555984000.

The previous prime is 2035021903. The next prime is 2035022029. The reversal of 2035021968 is 8691205302.

2035021968 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 624343 + ... + 627593.

Almost surely, 2^2035021968 is an apocalyptic number.

2035021968 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 2035021968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3522774528).

2035021968 is an abundant number, since it is smaller than the sum of its proper divisors (5010527088).

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

2035021968 is a wasteful number, since it uses less digits than its factorization.

2035021968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3304 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2035021968 is about 45111.2177623260. The cubic root of 2035021968 is about 1267.2326889811.

The spelling of 2035021968 in words is "two billion, thirty-five million, twenty-one thousand, nine hundred sixty-eight".