2038741640 has 96 divisors (see below), whose sum is σ = 4996339200. Its totient is φ = 748350720.

The previous prime is 2038741631. The next prime is 2038741651. The reversal of 2038741640 is 461478302.

It is a self number, because there is not a number n which added to its sum of digits gives 2038741640.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1290371 + ... + 1291949.

It is an arithmetic number, because the mean of its divisors is an integer number (52045200).

Almost surely, 2^2038741640 is an apocalyptic number.

2038741640 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 2038741640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498169600).

2038741640 is an abundant number, since it is smaller than the sum of its proper divisors (2957597560).

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

2038741640 is a wasteful number, since it uses less digits than its factorization.

2038741640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 2038741640 is about 45152.4267343406. The cubic root of 2038741640 is about 1268.0043138903.

The spelling of 2038741640 in words is "two billion, thirty-eight million, seven hundred forty-one thousand, six hundred forty".