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2666401520 = 245292714241
BaseRepresentation
bin1001111011101110…
…0000111011110000
320212211022020020212
42132323200323300
520430044322040
61120330123252
7123035016236
oct23673407360
96784266225
102666401520
111149128a22
12624b80528
133365518a3
141b41a8956
15109149d65
hex9eee0ef0

2666401520 has 80 divisors (see below), whose sum is σ = 6438337920. Its totient is φ = 1025740800.

The previous prime is 2666401511. The next prime is 2666401541. The reversal of 2666401520 is 251046662.

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, 626600 + ... + 630840.

It is an arithmetic number, because the mean of its divisors is an integer number (80479224).

Almost surely, 22666401520 is an apocalyptic number.

2666401520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2666401520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219168960).

2666401520 is an abundant number, since it is smaller than the sum of its proper divisors (3771936400).

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

2666401520 is a wasteful number, since it uses less digits than its factorization.

2666401520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4554 (or 4548 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 2666401520 is about 51637.2106140523. The cubic root of 2666401520 is about 1386.6765865702.

The spelling of 2666401520 in words is "two billion, six hundred sixty-six million, four hundred one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 271 290 464 542 580 1084 1160 1355 2168 2320 2710 4241 4336 5420 7859 8482 10840 15718 16964 21205 21680 31436 33928 39295 42410 62872 67856 78590 84820 122989 125744 157180 169640 245978 314360 339280 491956 614945 628720 983912 1149311 1229890 1967824 2298622 2459780 4597244 4919560 5746555 9194488 9839120 11493110 18388976 22986220 33330019 45972440 66660038 91944880 133320076 166650095 266640152 333300190 533280304 666600380 1333200760 2666401520