2038612801 has 9 divisors (see below), whose sum is σ = 2058628131. Its totient is φ = 2018791512.

The previous prime is 2038612799. The next prime is 2038612813. The reversal of 2038612801 is 1082168302.

The square root of 2038612801 is 45151.

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

It can be written as a sum of positive squares in only one way, i.e., 351375025 + 1687237776 = 18745^2 + 41076^2 .

It is not a de Polignac number, because 2038612801 - 2¹ = 2038612799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2038615801) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 7359475 + ... + 7359751.

It is an arithmetic number, because the mean of its divisors is an integer number (228736459).

Almost surely, 2^2038612801 is an apocalyptic number.

2038612801 is the 45151-st square number.

2038612801 is the 22576-th centered octagonal number.

It is an amenable number.

2038612801 is a deficient number, since it is larger than the sum of its proper divisors (20015330).

2038612801 is an frugal number, since it uses more digits than its factorization.

2038612801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The cubic root of 2038612801 is about 1267.9776026671.

The spelling of 2038612801 in words is "two billion, thirty-eight million, six hundred twelve thousand, eight hundred one".