2034257472 has 168 divisors, whose sum is σ = 6306516216. Its totient is φ = 623222784.

The previous prime is 2034257453. The next prime is 2034257539. The reversal of 2034257472 is 2747524302.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 65028096 + 1969229376 = 8064^2 + 44376^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2373268 + ... + 2374124.

It is an arithmetic number, because the mean of its divisors is an integer number (37538787).

Almost surely, 2^2034257472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034257472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153258108).

2034257472 is an abundant number, since it is smaller than the sum of its proper divisors (4272258744).

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

2034257472 is a wasteful number, since it uses less digits than its factorization.

2034257472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 2034257472 is about 45102.7435085716. The cubic root of 2034257472 is about 1267.0739821501.

The spelling of 2034257472 in words is "two billion, thirty-four million, two hundred fifty-seven thousand, four hundred seventy-two".