2935434000 has 80 divisors (see below), whose sum is σ = 9463858560. Its totient is φ = 782780800.

The previous prime is 2935433993. The next prime is 2935434017. The reversal of 2935434000 is 4345392.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 238620 + ... + 250619.

It is an arithmetic number, because the mean of its divisors is an integer number (118298232).

Almost surely, 2^2935434000 is an apocalyptic number.

2935434000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2935434000 is an abundant number, since it is smaller than the sum of its proper divisors (6528424560).

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

2935434000 is a wasteful number, since it uses less digits than its factorization.

2935434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489265 (or 489249 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 2935434000 is about 54179.6456245332. The cubic root of 2935434000 is about 1431.8277442271.

Adding to 2935434000 its reverse (4345392), we get a palindrome (2939779392).

The spelling of 2935434000 in words is "two billion, nine hundred thirty-five million, four hundred thirty-four thousand".