2038680576 has 154 divisors (see below), whose sum is σ = 6112497572. Its totient is φ = 679311360.

The previous prime is 2038680569. The next prime is 2038680577. The reversal of 2038680576 is 6750868302.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (2038680577) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 745131 + ... + 747861.

Almost surely, 2^2038680576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2038680576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056248786).

2038680576 is an abundant number, since it is smaller than the sum of its proper divisors (4073816996).

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

2038680576 is an frugal number, since it uses more digits than its factorization.

2038680576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2038680576 is about 45151.7505308487. The cubic root of 2038680576 is about 1267.9916540896.

The spelling of 2038680576 in words is "two billion, thirty-eight million, six hundred eighty thousand, five hundred seventy-six".