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2542207572 = 22332310110133
BaseRepresentation
bin1001011110000111…
…0000001001010100
320120011121112012000
42113201300021110
520201301120242
61100132155300
7116666256612
oct22741601124
96504545160
102542207572
1110950121a3
125ab468b30
133168b9a48
141a18ba6b2
15ed2b6a4c
hex97870254

2542207572 has 96 divisors (see below), whose sum is σ = 6946248960. Its totient is φ = 802454400.

The previous prime is 2542207561. The next prime is 2542207573. The reversal of 2542207572 is 2757022452.

2542207572 is a `hidden beast` number, since 25 + 42 + 20 + 7 + 572 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542207573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245818 + ... + 255950.

It is an arithmetic number, because the mean of its divisors is an integer number (72356760).

Almost surely, 22542207572 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 2542207572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473124480).

2542207572 is an abundant number, since it is smaller than the sum of its proper divisors (4404041388).

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

2542207572 is a wasteful number, since it uses less digits than its factorization.

2542207572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10270 (or 10262 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 2542207572 is about 50420.3091224161. The cubic root of 2542207572 is about 1364.8041549719.

The spelling of 2542207572 in words is "two billion, five hundred forty-two million, two hundred seven thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 101 108 138 202 207 276 303 404 414 606 621 828 909 1212 1242 1818 2323 2484 2727 3636 4646 5454 6969 9292 10133 10908 13938 20266 20907 27876 30399 40532 41814 60798 62721 83628 91197 121596 125442 182394 233059 250884 273591 364788 466118 547182 699177 932236 1023433 1094364 1398354 2046866 2097531 2796708 3070299 4093732 4195062 6140598 6292593 8390124 9210897 12281196 12585186 18421794 23538959 25170372 27632691 36843588 47077918 55265382 70616877 94155836 110530764 141233754 211850631 282467508 423701262 635551893 847402524 1271103786 2542207572