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2541140020 = 225373433973
BaseRepresentation
bin1001011101110110…
…1011100000110100
320120002121021210001
42113131223200310
520201012440040
61100053241044
7116654222326
oct22735534064
96502537701
102541140020
111094453121
125ab033184
13316604b63
141a16bd616
15ed15559a
hex9776b834

2541140020 has 24 divisors (see below), whose sum is σ = 5480622504. Its totient is φ = 988983936.

The previous prime is 2541140011. The next prime is 2541140033. The reversal of 2541140020 is 200411452.

It can be written as a sum of positive squares in 4 ways, for example, as 146603664 + 2394536356 = 12108^2 + 48934^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2541140020.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1716247 + ... + 1717726.

It is an arithmetic number, because the mean of its divisors is an integer number (228359271).

Almost surely, 22541140020 is an apocalyptic number.

2541140020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2541140020 is an abundant number, since it is smaller than the sum of its proper divisors (2939482484).

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

2541140020 is a wasteful number, since it uses less digits than its factorization.

2541140020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434019 (or 3434017 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2541140020 is about 50409.7214830632. The cubic root of 2541140020 is about 1364.6130869916.

Adding to 2541140020 its reverse (200411452), we get a palindrome (2741551472).

The spelling of 2541140020 in words is "two billion, five hundred forty-one million, one hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 3433973 6867946 13735892 17169865 34339730 68679460 127057001 254114002 508228004 635285005 1270570010 2541140020