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2041010020 = 22571971101107
BaseRepresentation
bin111100110100111…
…0101011101100100
312021020112001101201
41321221311131210
513134444310040
6534305532244
7101402204350
oct17151653544
95236461351
102041010020
11958108045
1248b644084
13266b0584a
141550d2460
15be2b3a9a
hex79a75764

2041010020 has 192 divisors, whose sum is σ = 5329981440. Its totient is φ = 641088000.

The previous prime is 2041010009. The next prime is 2041010071. The reversal of 2041010020 is 200101402.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2041009979 and 2041010006.

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, 19074807 + ... + 19074913.

It is an arithmetic number, because the mean of its divisors is an integer number (27760320).

Almost surely, 22041010020 is an apocalyptic number.

2041010020 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 2041010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664990720).

2041010020 is an abundant number, since it is smaller than the sum of its proper divisors (3288971420).

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

2041010020 is a wasteful number, since it uses less digits than its factorization.

2041010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2041010020 is about 45177.5388882573. The cubic root of 2041010020 is about 1268.4744158824.

Adding to 2041010020 its reverse (200101402), we get a palindrome (2241111422).

The spelling of 2041010020 in words is "two billion, forty-one million, ten thousand, twenty".