2038740096 has 96 divisors (see below), whose sum is σ = 5753008080. Its totient is φ = 639569920.

The previous prime is 2038740091. The next prime is 2038740101. The reversal of 2038740096 is 6900478302.

It is an interprime number because it is at equal distance from previous prime (2038740091) and next prime (2038740101).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2038740096² = 8312922358076178432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2038740091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101791 + ... + 120161.

Almost surely, 2^2038740096 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 2038740096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876504040).

2038740096 is an abundant number, since it is smaller than the sum of its proper divisors (3714267984).

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

2038740096 is a wasteful number, since it uses less digits than its factorization.

2038740096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18422 (or 18393 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 2038740096 is about 45152.4096366960. The cubic root of 2038740096 is about 1268.0039937911.

The spelling of 2038740096 in words is "two billion, thirty-eight million, seven hundred forty thousand, ninety-six".