2038522500 has 405 divisors, whose sum is σ = 7668631971. Its totient is φ = 455112000.

The previous prime is 2038522489. The next prime is 2038522529. The reversal of 2038522500 is 52258302.

2038522500 = 1³ + 2³ + ... + 300³.

The square root of 2038522500 is 45150.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 159820164 + 1878702336 = 12642^2 + 43344^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 47407479 + ... + 47407521.

Almost surely, 2^2038522500 is an apocalyptic number.

2038522500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2038522500 is the 45150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2038522500

2038522500 is an abundant number, since it is smaller than the sum of its proper divisors (5630109471).

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

2038522500 is a wasteful number, since it uses less digits than its factorization.

2038522500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The cubic root of 2038522500 is about 1267.9588805674.

The spelling of 2038522500 in words is "two billion, thirty-eight million, five hundred twenty-two thousand, five hundred".