Search a number
-
+
2542213540 = 2251091166153
BaseRepresentation
bin1001011110000111…
…0001100110100100
320120011121211101001
42113201301212210
520201301313130
61100132243044
7116666313166
oct22741614644
96504554331
102542213540
111095016729
125ab470484
133168bc689
141a18bc936
15ed2b86ca
hex978719a4

2542213540 has 24 divisors (see below), whose sum is σ = 5387631480. Its totient is φ = 1007555328.

The previous prime is 2542213523. The next prime is 2542213561. The reversal of 2542213540 is 453122452.

It can be written as a sum of positive squares in 4 ways, for example, as 85821696 + 2456391844 = 9264^2 + 49562^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2542213499 and 2542213508.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 580897 + ... + 585256.

It is an arithmetic number, because the mean of its divisors is an integer number (224484645).

Almost surely, 22542213540 is an apocalyptic number.

2542213540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2542213540 is an abundant number, since it is smaller than the sum of its proper divisors (2845417940).

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

2542213540 is a wasteful number, since it uses less digits than its factorization.

2542213540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166271 (or 1166269 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 2542213540 is about 50420.3683048825. The cubic root of 2542213540 is about 1364.8052229603.

Adding to 2542213540 its reverse (453122452), we get a palindrome (2995335992).

The spelling of 2542213540 in words is "two billion, five hundred forty-two million, two hundred thirteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 109 218 436 545 1090 2180 1166153 2332306 4664612 5830765 11661530 23323060 127110677 254221354 508442708 635553385 1271106770 2542213540