2038463680 has 112 divisors (see below), whose sum is σ = 5368588704. Its totient is φ = 731013120.

The previous prime is 2038463663. The next prime is 2038463701. The reversal of 2038463680 is 863648302.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a zygodrome in base 2.

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 15 ways as a sum of consecutive naturals, for example, 252994 + ... + 260926.

Almost surely, 2^2038463680 is an apocalyptic number.

2038463680 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 2038463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684294352).

2038463680 is an abundant number, since it is smaller than the sum of its proper divisors (3330125024).

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

2038463680 is a wasteful number, since it uses less digits than its factorization.

2038463680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8034 (or 8024 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The square root of 2038463680 is about 45149.3486110265. The cubic root of 2038463680 is about 1267.9466851238.

The spelling of 2038463680 in words is "two billion, thirty-eight million, four hundred sixty-three thousand, six hundred eighty".