2038302720 has 288 divisors, whose sum is σ = 7485692760. Its totient is φ = 511180800.

The previous prime is 2038302683. The next prime is 2038302751. The reversal of 2038302720 is 272038302.

2038302720 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1214383104 + 823919616 = 34848^2 + 28704^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1566070 + ... + 1567370.

Almost surely, 2^2038302720 is an apocalyptic number.

2038302720 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 2038302720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3742846380).

2038302720 is an abundant number, since it is smaller than the sum of its proper divisors (5447390040).

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

2038302720 is a wasteful number, since it uses less digits than its factorization.

2038302720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2038302720 is about 45147.5660473519. The cubic root of 2038302720 is about 1267.9133112857.

The spelling of 2038302720 in words is "two billion, thirty-eight million, three hundred two thousand, seven hundred twenty".