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2542165360 = 24574539581
BaseRepresentation
bin1001011110000110…
…0101110101110000
320120011112101021121
42113201211311300
520201243242420
61100131232024
7116666022550
oct22741456560
96504471247
102542165360
111094a93509
125ab448614
133168a3777
141a18a9160
15ed2a92aa
hex97865d70

2542165360 has 40 divisors (see below), whose sum is σ = 6754898016. Its totient is φ = 871599360.

The previous prime is 2542165337. The next prime is 2542165369. The reversal of 2542165360 is 635612452.

2542165360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542165369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2269231 + ... + 2270350.

Almost surely, 22542165360 is an apocalyptic number.

2542165360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2542165360 is an abundant number, since it is smaller than the sum of its proper divisors (4212732656).

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

2542165360 is a wasteful number, since it uses less digits than its factorization.

2542165360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4539601 (or 4539595 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 2542165360 is about 50419.8905195162. The cubic root of 2542165360 is about 1364.7966009819.

The spelling of 2542165360 in words is "two billion, five hundred forty-two million, one hundred sixty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 4539581 9079162 18158324 22697905 31777067 36316648 45395810 63554134 72633296 90791620 127108268 158885335 181583240 254216536 317770670 363166480 508433072 635541340 1271082680 2542165360