2034100320 has 384 divisors, whose sum is σ = 7838208000. Its totient is φ = 432832512.

The previous prime is 2034100319. The next prime is 2034100351. The reversal of 2034100320 is 230014302.

2034100320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2034100320² = 8275128223648204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2034100320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8510761 + ... + 8510999.

It is an arithmetic number, because the mean of its divisors is an integer number (20412000).

Almost surely, 2^2034100320 is an apocalyptic number.

2034100320 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 2034100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919104000).

2034100320 is an abundant number, since it is smaller than the sum of its proper divisors (5804107680).

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

2034100320 is a wasteful number, since it uses less digits than its factorization.

2034100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2034100320 is about 45101.0013192612. The cubic root of 2034100320 is about 1267.0413529900.

Adding to 2034100320 its reverse (230014302), we get a palindrome (2264114622).

The spelling of 2034100320 in words is "two billion, thirty-four million, one hundred thousand, three hundred twenty".