2038126656 has 112 divisors (see below), whose sum is σ = 5691591360. Its totient is φ = 641894400.

The previous prime is 2038126633. The next prime is 2038126679. The reversal of 2038126656 is 6566218302.

It is an interprime number because it is at equal distance from previous prime (2038126633) and next prime (2038126679).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2556850 + ... + 2557646.

It is an arithmetic number, because the mean of its divisors is an integer number (50817780).

Almost surely, 2^2038126656 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 2038126656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845795680).

2038126656 is an abundant number, since it is smaller than the sum of its proper divisors (3653464704).

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

2038126656 is a wasteful number, since it uses less digits than its factorization.

2038126656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 2038126656 is about 45145.6161326878. The cubic root of 2038126656 is about 1267.8768037354.

The spelling of 2038126656 in words is "two billion, thirty-eight million, one hundred twenty-six thousand, six hundred fifty-six".