2038561821 has 12 divisors (see below), whose sum is σ = 2977675740. Its totient is φ = 1343770560.

The previous prime is 2038561793. The next prime is 2038561849. The reversal of 2038561821 is 1281658302.

It is a happy number.

2038561821 is a `hidden beast` number, since 2 + 0 + 38 + 5 + 618 + 2 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (2038561793) and next prime (2038561849).

It can be written as a sum of positive squares in 2 ways, for example, as 185259321 + 1853302500 = 13611^2 + 43050^2 .

It is not a de Polignac number, because 2038561821 - 2²³ = 2030173213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2038561121) 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 11 ways as a sum of consecutive naturals, for example, 1271710 + ... + 1273311.

It is an arithmetic number, because the mean of its divisors is an integer number (248139645).

Almost surely, 2^2038561821 is an apocalyptic number.

It is an amenable number.

2038561821 is a deficient number, since it is larger than the sum of its proper divisors (939113919).

2038561821 is a wasteful number, since it uses less digits than its factorization.

2038561821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2545116 (or 2545113 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2038561821 is about 45150.4354464052. The cubic root of 2038561821 is about 1267.9670330554.

The spelling of 2038561821 in words is "two billion, thirty-eight million, five hundred sixty-one thousand, eight hundred twenty-one".