2034563440 has 320 divisors, whose sum is σ = 6299596800. Its totient is φ = 593252352.

The previous prime is 2034563423. The next prime is 2034563441. The reversal of 2034563440 is 443654302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034563441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4855551 + ... + 4855969.

It is an arithmetic number, because the mean of its divisors is an integer number (19686240).

Almost surely, 2^2034563440 is an apocalyptic number.

2034563440 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 2034563440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149798400).

2034563440 is an abundant number, since it is smaller than the sum of its proper divisors (4265033360).

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

2034563440 is a wasteful number, since it uses less digits than its factorization.

2034563440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

The square root of 2034563440 is about 45106.1352811344. The cubic root of 2034563440 is about 1267.1375048625.

The spelling of 2034563440 in words is "two billion, thirty-four million, five hundred sixty-three thousand, four hundred forty".