2038877568 has 320 divisors, whose sum is σ = 7471353120. Its totient is φ = 537477120.

The previous prime is 2038877557. The next prime is 2038877569. The reversal of 2038877568 is 8657788302.

2038877568 is a `hidden beast` number, since 2 + 0 + 3 + 8 + 8 + 77 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2038877569) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 942408 + ... + 944568.

Almost surely, 2^2038877568 is an apocalyptic number.

2038877568 is a gapful number since it is divisible by the number (28) 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 2038877568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3735676560).

2038877568 is an abundant number, since it is smaller than the sum of its proper divisors (5432475552).

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

2038877568 is a wasteful number, since it uses less digits than its factorization.

2038877568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2207 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 2038877568 is about 45153.9319218161. The cubic root of 2038877568 is about 1268.0324936029.

The spelling of 2038877568 in words is "two billion, thirty-eight million, eight hundred seventy-seven thousand, five hundred sixty-eight".