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2542289520 = 243579134087
BaseRepresentation
bin1001011110001000…
…0100001001110000
320120011202200121010
42113202010021300
520201311231040
61100134030520
7120000050541
oct22742041160
96504680533
102542289520
111095068821
125ab4a8440
13316918134
141a18dc4c8
15ed2d0e80
hex97884270

2542289520 has 80 divisors (see below), whose sum is σ = 7980917760. Its totient is φ = 669357312.

The previous prime is 2542289461. The next prime is 2542289543. The reversal of 2542289520 is 259822452.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48084 + ... + 86003.

It is an arithmetic number, because the mean of its divisors is an integer number (99761472).

Almost surely, 22542289520 is an apocalyptic number.

2542289520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2542289520 is an abundant number, since it is smaller than the sum of its proper divisors (5438628240).

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

2542289520 is a wasteful number, since it uses less digits than its factorization.

2542289520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134182 (or 134176 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 2542289520 is about 50421.1217645939. The cubic root of 2542289520 is about 1364.8188196241.

The spelling of 2542289520 in words is "two billion, five hundred forty-two million, two hundred eighty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 237 240 316 395 474 632 790 948 1185 1264 1580 1896 2370 3160 3792 4740 6320 9480 18960 134087 268174 402261 536348 670435 804522 1072696 1340870 1609044 2011305 2145392 2681740 3218088 4022610 5363480 6436176 8045220 10592873 10726960 16090440 21185746 31778619 32180880 42371492 52964365 63557238 84742984 105928730 127114476 158893095 169485968 211857460 254228952 317786190 423714920 508457904 635572380 847429840 1271144760 2542289520