2042051276040 has 256 divisors, whose sum is σ = 6232714387200. Its totient is φ = 535160930304.

The previous prime is 2042051276039. The next prime is 2042051276051. The reversal of 2042051276040 is 406721502402.

It is a junction number, because it is equal to n+sod(n) for n = 2042051275992 and 2042051276010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1711693684 + ... + 1711694876.

It is an arithmetic number, because the mean of its divisors is an integer number (24346540575).

Almost surely, 2^{2042051276040} is an apocalyptic number.

2042051276040 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 2042051276040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3116357193600).

2042051276040 is an abundant number, since it is smaller than the sum of its proper divisors (4190663111160).

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

2042051276040 is a wasteful number, since it uses less digits than its factorization.

2042051276040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

Adding to 2042051276040 its reverse (406721502402), we get a palindrome (2448772778442).

The spelling of 2042051276040 in words is "two trillion, forty-two billion, fifty-one million, two hundred seventy-six thousand, forty".