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2041440192 = 263311211509
BaseRepresentation
bin111100110101101…
…1110011111000000
312021021022220111000
41321223132133000
513140102041232
6534323052000
7101405645451
oct17153363700
95237286430
102041440192
11958381260
1248b811000
13266c2659c
141551a5128
15be34b27c
hex79ade7c0

2041440192 has 224 divisors, whose sum is σ = 6590995200. Its totient is φ = 614476800.

The previous prime is 2041440157. The next prime is 2041440197. The reversal of 2041440192 is 2910441402.

It is a happy number.

2041440192 is a `hidden beast` number, since 20 + 414 + 40 + 192 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041440197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4010434 + ... + 4010942.

Almost surely, 22041440192 is an apocalyptic number.

2041440192 is a gapful number since it is divisible by the number (22) 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 2041440192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3295497600).

2041440192 is an abundant number, since it is smaller than the sum of its proper divisors (4549555008).

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

2041440192 is a wasteful number, since it uses less digits than its factorization.

2041440192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2041440192 is about 45182.2995430733. The cubic root of 2041440192 is about 1268.5635259865.

Adding to 2041440192 its reverse (2910441402), we get a palindrome (4951881594).

It can be divided in two parts, 20414 and 40192, that added together give a palindrome (60606).

The spelling of 2041440192 in words is "two billion, forty-one million, four hundred forty thousand, one hundred ninety-two".