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2894480640 = 28325251257
BaseRepresentation
bin1010110010000110…
…0100010100000000
321110201110211222200
42230201210110000
521411441340030
61155114433200
7131504452032
oct25441442400
97421424880
102894480640
11125594a167
12689432800
1337188a74c
141d65b9c52
1511e19dd60
hexac864500

2894480640 has 108 divisors (see below), whose sum is σ = 10014641364. Its totient is φ = 771858432.

The previous prime is 2894480627. The next prime is 2894480651. The reversal of 2894480640 is 460844982.

2894480640 is a `hidden beast` number, since 28 + 94 + 480 + 64 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2239939584 + 654541056 = 47328^2 + 25584^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114109 + ... + 137148.

Almost surely, 22894480640 is an apocalyptic number.

2894480640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2894480640 is an abundant number, since it is smaller than the sum of its proper divisors (7120160724).

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

2894480640 is a wasteful number, since it uses less digits than its factorization.

2894480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251284 (or 251267 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 2894480640 is about 53800.3776938415. The cubic root of 2894480640 is about 1425.1378777024.

The spelling of 2894480640 in words is "two billion, eight hundred ninety-four million, four hundred eighty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 251257 502514 753771 1005028 1256285 1507542 2010056 2261313 2512570 3015084 3768855 4020112 4522626 5025140 6030168 7537710 8040224 9045252 10050280 11306565 12060336 15075420 16080448 18090504 20100560 22613130 24120672 30150840 32160896 36181008 40201120 45226260 48241344 60301680 64321792 72362016 80402240 90452520 96482688 120603360 144724032 160804480 180905040 192965376 241206720 289448064 321608960 361810080 482413440 578896128 723620160 964826880 1447240320 2894480640