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2040510015126 = 23211194357122091
BaseRepresentation
bin11101101100010111110…
…111111110011010010110
321020001220122120211200200
4131230113313332122112
5231412431030441001
64201221455121330
7300264511644312
oct35542767763226
97201818524620
102040510015126
11717414786830
1228b56a813246
1311a55b19741b
1470a92a9cb42
153812965a086
hex1db17dfe696

2040510015126 has 192 divisors, whose sum is σ = 5204267228160. Its totient is φ = 571141368000.

The previous prime is 2040510015121. The next prime is 2040510015133. The reversal of 2040510015126 is 6215100150402.

2040510015126 is a `hidden beast` number, since 2 + 0 + 40 + 5 + 100 + 1 + 512 + 6 = 666.

It is a super-2 number, since 2×20405100151262 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2040510015126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040510015121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92357341 + ... + 92379431.

It is an arithmetic number, because the mean of its divisors is an integer number (27105558480).

Almost surely, 22040510015126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040510015126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602133614080).

2040510015126 is an abundant number, since it is smaller than the sum of its proper divisors (3163757213034).

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

2040510015126 is a wasteful number, since it uses less digits than its factorization.

2040510015126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22743 (or 22740 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 2040510015126 its reverse (6215100150402), we get a palindrome (8255610165528).

The spelling of 2040510015126 in words is "two trillion, forty billion, five hundred ten million, fifteen thousand, one hundred twenty-six".