2038666560 has 336 divisors, whose sum is σ = 7929311040. Its totient is φ = 441262080.

The previous prime is 2038666559. The next prime is 2038666603. The reversal of 2038666560 is 656668302.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×2038666560² = 8312322685724467200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 892620 + ... + 894900.

It is an arithmetic number, because the mean of its divisors is an integer number (23599140).

Almost surely, 2^2038666560 is an apocalyptic number.

2038666560 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 2038666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3964655520).

2038666560 is an abundant number, since it is smaller than the sum of its proper divisors (5890644480).

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

2038666560 is a wasteful number, since it uses less digits than its factorization.

2038666560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 2038666560 is about 45151.5953206528. The cubic root of 2038666560 is about 1267.9887482540.

The spelling of 2038666560 in words is "two billion, thirty-eight million, six hundred sixty-six thousand, five hundred sixty".