2038692923040 has 576 divisors, whose sum is σ = 7053652368000. Its totient is φ = 493225574400.

The previous prime is 2038692922993. The next prime is 2038692923053. The reversal of 2038692923040 is 403292968302.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 95 ways as a sum of consecutive naturals, for example, 3913037980 + ... + 3913038500.

It is an arithmetic number, because the mean of its divisors is an integer number (12245924250).

Almost surely, 2^{2038692923040} is an apocalyptic number.

2038692923040 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 2038692923040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3526826184000).

2038692923040 is an abundant number, since it is smaller than the sum of its proper divisors (5014959444960).

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

2038692923040 is a wasteful number, since it uses less digits than its factorization.

2038692923040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 2038692923040 in words is "two trillion, thirty-eight billion, six hundred ninety-two million, nine hundred twenty-three thousand, forty".