2038229280 has 288 divisors, whose sum is σ = 7429968000. Its totient is φ = 507027456.

The previous prime is 2038229279. The next prime is 2038229287. The reversal of 2038229280 is 829228302.

2038229280 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (2038229287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3402421 + ... + 3403019.

It is an arithmetic number, because the mean of its divisors is an integer number (25798500).

Almost surely, 2^2038229280 is an apocalyptic number.

2038229280 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 2038229280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714984000).

2038229280 is an abundant number, since it is smaller than the sum of its proper divisors (5391738720).

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

2038229280 is a wasteful number, since it uses less digits than its factorization.

2038229280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2038229280 is about 45146.7527071438. The cubic root of 2038229280 is about 1267.8980834737.

The spelling of 2038229280 in words is "two billion, thirty-eight million, two hundred twenty-nine thousand, two hundred eighty".