Search a number
-
+
2540774264 = 2372411131399
BaseRepresentation
bin1001011101110001…
…0010001101111000
320120001220201001112
42113130102031320
520200414234024
61100041335452
7116651140100
oct22734221570
96501821045
102540774264
111094223346
125aaa97588
13316507532
141a1626200
15ed0d200e
hex97712378

2540774264 has 96 divisors (see below), whose sum is σ = 5731236000. Its totient is φ = 1052190720.

The previous prime is 2540774231. The next prime is 2540774267. The reversal of 2540774264 is 4624770452.

2540774264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540774267) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1815437 + ... + 1816835.

It is an arithmetic number, because the mean of its divisors is an integer number (59700375).

Almost surely, 22540774264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2540774264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865618000).

2540774264 is an abundant number, since it is smaller than the sum of its proper divisors (3190461736).

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

2540774264 is a wasteful number, since it uses less digits than its factorization.

2540774264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 41.

The square root of 2540774264 is about 50406.0935205259. The cubic root of 2540774264 is about 1364.5476125236.

The spelling of 2540774264 in words is "two billion, five hundred forty million, seven hundred seventy-four thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 41 49 56 82 98 113 164 196 226 287 328 392 452 574 791 904 1148 1399 1582 2009 2296 2798 3164 4018 4633 5537 5596 6328 8036 9266 9793 11074 11192 16072 18532 19586 22148 32431 37064 39172 44296 57359 64862 68551 78344 114718 129724 137102 158087 227017 229436 259448 274204 316174 401513 454034 458872 548408 632348 803026 908068 1106609 1264696 1606052 1816136 2213218 2810591 3212104 4426436 5621182 6481567 7746263 8852872 11242364 12963134 15492526 22484728 25926268 30985052 45370969 51852536 61970104 90741938 181483876 317596783 362967752 635193566 1270387132 2540774264