2038816040 has 32 divisors (see below), whose sum is σ = 4610639880. Its totient is φ = 811383552.

The previous prime is 2038816009. The next prime is 2038816081. The reversal of 2038816040 is 406188302.

It can be written as a sum of positive squares in 4 ways, for example, as 1692335044 + 346480996 = 41138^2 + 18614^2 .

It is a super-2 number, since 2×2038816040² = 8313541689922563200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2038815988 and 2038816006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121487 + ... + 137246.

Almost surely, 2^2038816040 is an apocalyptic number.

2038816040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2038816040 is an abundant number, since it is smaller than the sum of its proper divisors (2571823840).

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

2038816040 is a wasteful number, since it uses less digits than its factorization.

2038816040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258941 (or 258937 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 2038816040 is about 45153.2506028082. The cubic root of 2038816040 is about 1268.0197381716.

The spelling of 2038816040 in words is "two billion, thirty-eight million, eight hundred sixteen thousand, forty".