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2041140440 = 235314735023
BaseRepresentation
bin111100110101001…
…0101010011011000
312021020202200022002
41321222111103120
513140012443230
6534312420132
7101403256523
oct17152252330
95236680262
102041140440
11958197029
1248b6a7648
13266b50011
14155127bba
15be2dc545
hex79a954d8

2041140440 has 64 divisors (see below), whose sum is σ = 4841717760. Its totient is φ = 773285760.

The previous prime is 2041140427. The next prime is 2041140449. The reversal of 2041140440 is 440411402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041140449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40769 + ... + 75791.

It is an arithmetic number, because the mean of its divisors is an integer number (75651840).

Almost surely, 22041140440 is an apocalyptic number.

2041140440 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 2041140440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420858880).

2041140440 is an abundant number, since it is smaller than the sum of its proper divisors (2800577320).

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

2041140440 is a wasteful number, since it uses less digits than its factorization.

2041140440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35112 (or 35108 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2041140440 is about 45178.9822815875. The cubic root of 2041140440 is about 1268.5014337001.

Adding to 2041140440 its reverse (440411402), we get a palindrome (2481551842).

The spelling of 2041140440 in words is "two billion, forty-one million, one hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 47 62 94 124 155 188 235 248 310 376 470 620 940 1240 1457 1880 2914 5828 7285 11656 14570 29140 35023 58280 70046 140092 175115 280184 350230 700460 1085713 1400920 1646081 2171426 3292162 4342852 5428565 6584324 8230405 8685704 10857130 13168648 16460810 21714260 32921620 43428520 51028511 65843240 102057022 204114044 255142555 408228088 510285110 1020570220 2041140440