2935046016 has 320 divisors, whose sum is σ = 10261632480. Its totient is φ = 815173632.

The previous prime is 2935045963. The next prime is 2935046027. The reversal of 2935046016 is 6106405392.

It is a happy number.

2935046016 is a `hidden beast` number, since 2 + 93 + 504 + 60 + 1 + 6 = 666.

It is a super-2 number, since 2×2935046016² = 17228990232074944512, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2684766 + ... + 2685858.

Almost surely, 2^2935046016 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 2935046016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5130816240).

2935046016 is an abundant number, since it is smaller than the sum of its proper divisors (7326586464).

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

2935046016 is a wasteful number, since it uses less digits than its factorization.

2935046016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2935046016 is about 54176.0649733810. The cubic root of 2935046016 is about 1431.7646586400.

The spelling of 2935046016 in words is "two billion, nine hundred thirty-five million, forty-six thousand, sixteen".