2038298094540 has 384 divisors, whose sum is σ = 6489499161600. Its totient is φ = 531007488000.

The previous prime is 2038298094457. The next prime is 2038298094617. The reversal of 2038298094540 is 454908928302.

2038298094540 is a `hidden beast` number, since 2 + 0 + 3 + 8 + 2 + 9 + 8 + 0 + 94 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3532578732 + ... + 3532579308.

It is an arithmetic number, because the mean of its divisors is an integer number (16899737400).

Almost surely, 2^{2038298094540} is an apocalyptic number.

2038298094540 is a gapful number since it is divisible by the number (20) 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 2038298094540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3244749580800).

2038298094540 is an abundant number, since it is smaller than the sum of its proper divisors (4451201067060).

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

2038298094540 is a wasteful number, since it uses less digits than its factorization.

2038298094540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2038298094540 in words is "two trillion, thirty-eight billion, two hundred ninety-eight million, ninety-four thousand, five hundred forty".