2042320109040 has 1280 divisors, whose sum is σ = 7819933777920. Its totient is φ = 488277504000.

The previous prime is 2042320109021. The next prime is 2042320109047. The reversal of 2042320109040 is 409010232402.

2042320109040 is a `hidden beast` number, since 204 + 2 + 320 + 10 + 90 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2042320108995 and 2042320109013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042320109047) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10692775345 + ... + 10692775535.

It is an arithmetic number, because the mean of its divisors is an integer number (6109323264).

Almost surely, 2^{2042320109040} is an apocalyptic number.

2042320109040 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 2042320109040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3909966888960).

2042320109040 is an abundant number, since it is smaller than the sum of its proper divisors (5777613668880).

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

2042320109040 is a wasteful number, since it uses less digits than its factorization.

2042320109040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 2042320109040 in words is "two trillion, forty-two billion, three hundred twenty million, one hundred nine thousand, forty".