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2541441620 = 225127072081
BaseRepresentation
bin1001011101111011…
…0101001001010100
320120010011121111102
42113132311021110
520201102112440
61100103525232
7116656616534
oct22736651124
96503147442
102541441620
111094639783
125ab159818
133166ac213
141a175b4c4
15ed1b4b15
hex977b5254

2541441620 has 12 divisors (see below), whose sum is σ = 5337027444. Its totient is φ = 1016576640.

The previous prime is 2541441583. The next prime is 2541441629. The reversal of 2541441620 is 261441452.

It can be written as a sum of positive squares in 2 ways, for example, as 978188176 + 1563253444 = 31276^2 + 39538^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541441629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63536021 + ... + 63536060.

It is an arithmetic number, because the mean of its divisors is an integer number (444752287).

Almost surely, 22541441620 is an apocalyptic number.

2541441620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2541441620 is an abundant number, since it is smaller than the sum of its proper divisors (2795585824).

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

2541441620 is a wasteful number, since it uses less digits than its factorization.

2541441620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127072090 (or 127072088 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 2541441620 is about 50412.7128807804. The cubic root of 2541441620 is about 1364.6670720825.

The spelling of 2541441620 in words is "two billion, five hundred forty-one million, four hundred forty-one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 127072081 254144162 508288324 635360405 1270720810 2541441620