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2040422404020 = 223571113371019091
BaseRepresentation
bin11101101100010010101…
…001110000111110110100
321020001200112201201211220
4131230102221300332310
5231412241113412040
64201205045230340
7300262366161330
oct35542251607664
97201615651756
102040422404020
1171737a287260
1228b5454023b0
1311a545ca0930
1470a851b47c0
1538121b012d0
hex1db12a70fb4

2040422404020 has 768 divisors, whose sum is σ = 7957043748864. Its totient is φ = 376980480000.

The previous prime is 2040422403961. The next prime is 2040422404123. The reversal of 2040422404020 is 204042240402.

It is a super-2 number, since 2×20404224040202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 224439675 + ... + 224448765.

It is an arithmetic number, because the mean of its divisors is an integer number (10360734048).

Almost surely, 22040422404020 is an apocalyptic number.

2040422404020 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 2040422404020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3978521874432).

2040422404020 is an abundant number, since it is smaller than the sum of its proper divisors (5916621344844).

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

2040422404020 is a wasteful number, since it uses less digits than its factorization.

2040422404020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9272 (or 9270 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 2040422404020 its reverse (204042240402), we get a palindrome (2244464644422).

It can be divided in two parts, 2040422 and 404020, that added together give a palindrome (2444442).

The spelling of 2040422404020 in words is "two trillion, forty billion, four hundred twenty-two million, four hundred four thousand, twenty".