2038037557248 has 2496 divisors, whose sum is σ = 8478840913920. Its totient is φ = 455462092800.

The previous prime is 2038037557219. The next prime is 2038037557261. The reversal of 2038037557248 is 8427557308302.

2038037557248 is a `hidden beast` number, since 2 + 0 + 3 + 80 + 3 + 7 + 557 + 2 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2038037557194 and 2038037557203.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38453538790 + ... + 38453538842.

It is an arithmetic number, because the mean of its divisors is an integer number (3396971520).

Almost surely, 2^{2038037557248} is an apocalyptic number.

2038037557248 is a gapful number since it is divisible by the number (28) 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 2038037557248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4239420456960).

2038037557248 is an abundant number, since it is smaller than the sum of its proper divisors (6440803356672).

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

2038037557248 is a wasteful number, since it uses less digits than its factorization.

2038037557248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 2038037557248 in words is "two trillion, thirty-eight billion, thirty-seven million, five hundred fifty-seven thousand, two hundred forty-eight".