2038492496304 has 720 divisors, whose sum is σ = 6843498925536. Its totient is φ = 564437237760.

The previous prime is 2038492496281. The next prime is 2038492496309. The reversal of 2038492496304 is 4036942948302.

2038492496304 is a `hidden beast` number, since 2 + 0 + 38 + 4 + 92 + 496 + 30 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (2038492496309) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4460596044 + ... + 4460596500.

Almost surely, 2^{2038492496304} is an apocalyptic number.

2038492496304 is a gapful number since it is divisible by the number (24) 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 2038492496304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421749462768).

2038492496304 is an abundant number, since it is smaller than the sum of its proper divisors (4805006429232).

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

2038492496304 is a wasteful number, since it uses less digits than its factorization.

2038492496304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 2038492496304 in words is "two trillion, thirty-eight billion, four hundred ninety-two million, four hundred ninety-six thousand, three hundred four".