2291734000 has 80 divisors (see below), whose sum is σ = 5562367200. Its totient is φ = 913228800.

The previous prime is 2291733967. The next prime is 2291734013. The reversal of 2291734000 is 4371922.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2291734000.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 563976 + ... + 568024.

It is an arithmetic number, because the mean of its divisors is an integer number (69529590).

Almost surely, 2^2291734000 is an apocalyptic number.

2291734000 is a gapful number since it is divisible by the number (20) 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 2291734000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781183600).

2291734000 is an abundant number, since it is smaller than the sum of its proper divisors (3270633200).

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

2291734000 is a wasteful number, since it uses less digits than its factorization.

2291734000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4355 (or 4339 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 2291734000 is about 47872.0586563812. The cubic root of 2291734000 is about 1318.4228945452.

It can be divided in two parts, 2291 and 734000, that added together give a triangular number (736291 = T₁₂₁₃).

The spelling of 2291734000 in words is "two billion, two hundred ninety-one million, seven hundred thirty-four thousand".