2038941377748 has 288 divisors, whose sum is σ = 6313520640000. Its totient is φ = 566457883200.

The previous prime is 2038941377743. The next prime is 2038941377801. The reversal of 2038941377748 is 8477731498302.

2038941377748 is a `hidden beast` number, since 2 + 0 + 3 + 89 + 413 + 77 + 74 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2038941377743) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7564603 + ... + 7829501.

Almost surely, 2^{2038941377748} 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 2038941377748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3156760320000).

2038941377748 is an abundant number, since it is smaller than the sum of its proper divisors (4274579262252).

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

2038941377748 is a wasteful number, since it uses less digits than its factorization.

2038941377748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264984 (or 264965 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 2038941377748 in words is "two trillion, thirty-eight billion, nine hundred forty-one million, three hundred seventy-seven thousand, seven hundred forty-eight".