2038503456 has 576 divisors, whose sum is σ = 7335982080. Its totient is φ = 547430400.

The previous prime is 2038503449. The next prime is 2038503457. The reversal of 2038503456 is 6543058302.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2038503456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2038503457) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55094670 + ... + 55094706.

It is an arithmetic number, because the mean of its divisors is an integer number (12736080).

Almost surely, 2^2038503456 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 2038503456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3667991040).

2038503456 is an abundant number, since it is smaller than the sum of its proper divisors (5297478624).

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

2038503456 is a wasteful number, since it uses less digits than its factorization.

2038503456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2038503456 is about 45149.7891024975. The cubic root of 2038503456 is about 1267.9549321057.

The spelling of 2038503456 in words is "two billion, thirty-eight million, five hundred three thousand, four hundred fifty-six".