2034370800 has 720 divisors, whose sum is σ = 9066919680. Its totient is φ = 410112000.

The previous prime is 2034370771. The next prime is 2034370817. The reversal of 2034370800 is 80734302.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11365111 + ... + 11365289.

It is an arithmetic number, because the mean of its divisors is an integer number (12592944).

Almost surely, 2^2034370800 is an apocalyptic number.

2034370800 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 2034370800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4533459840).

2034370800 is an abundant number, since it is smaller than the sum of its proper divisors (7032548880).

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

2034370800 is a wasteful number, since it uses less digits than its factorization.

2034370800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2034370800 is about 45103.9998226321. Note that the first 3 decimals coincide. The cubic root of 2034370800 is about 1267.0975111766.

The spelling of 2034370800 in words is "two billion, thirty-four million, three hundred seventy thousand, eight hundred".