2034253440 has 160 divisors (see below), whose sum is σ = 7264871460. Its totient is φ = 542453760.

The previous prime is 2034253433. The next prime is 2034253453. The reversal of 2034253440 is 443524302.

2034253440 is a `hidden beast` number, since 203 + 425 + 34 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1947986496 + 86266944 = 44136^2 + 9288^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32220 + ... + 71460.

Almost surely, 2^2034253440 is an apocalyptic number.

2034253440 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 2034253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3632435730).

2034253440 is an abundant number, since it is smaller than the sum of its proper divisors (5230618020).

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

2034253440 is an equidigital number, since it uses as much as digits as its factorization.

2034253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39272 (or 39251 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 2034253440 is about 45102.6988106033. The cubic root of 2034253440 is about 1267.0731450149.

Adding to 2034253440 its reverse (443524302), we get a palindrome (2477777742).

The spelling of 2034253440 in words is "two billion, thirty-four million, two hundred fifty-three thousand, four hundred forty".