2003254416 has 200 divisors, whose sum is σ = 6007601600. Its totient is φ = 644039424.

The previous prime is 2003254411. The next prime is 2003254427. The reversal of 2003254416 is 6144523002.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2003254416.

It is not an unprimeable number, because it can be changed into a prime (2003254411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5739810 + ... + 5740158.

It is an arithmetic number, because the mean of its divisors is an integer number (30038008).

Almost surely, 2^2003254416 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 2003254416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003800800).

2003254416 is an abundant number, since it is smaller than the sum of its proper divisors (4004347184).

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

2003254416 is a wasteful number, since it uses less digits than its factorization.

2003254416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2003254416 is about 44757.7302373568. The cubic root of 2003254416 is about 1260.6040640973.

Adding to 2003254416 its reverse (6144523002), we get a palindrome (8147777418).

The spelling of 2003254416 in words is "two billion, three million, two hundred fifty-four thousand, four hundred sixteen".