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2048304640 = 295800119
BaseRepresentation
bin111101000010110…
…1010011000000000
312021202020122201211
41322011222120000
513143331222030
6535130135504
7101521205434
oct17205523000
95252218654
102048304640
1196123a658
12491b81594
1326848aba5
141560709c4
15bec5512a
hex7a16a600

2048304640 has 40 divisors (see below), whose sum is σ = 4911136560. Its totient is φ = 819320832.

The previous prime is 2048304623. The next prime is 2048304647. The reversal of 2048304640 is 464038402.

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 (2048304647) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 397500 + ... + 402619.

It is an arithmetic number, because the mean of its divisors is an integer number (122778414).

Almost surely, 22048304640 is an apocalyptic number.

2048304640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2048304640 is an abundant number, since it is smaller than the sum of its proper divisors (2862831920).

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

2048304640 is an frugal number, since it uses more digits than its factorization.

2048304640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800142 (or 800126 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 2048304640 is about 45258.1996990601. The cubic root of 2048304640 is about 1269.9838053611.

The spelling of 2048304640 in words is "two billion, forty-eight million, three hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 800119 1600238 3200476 4000595 6400952 8001190 12801904 16002380 25603808 32004760 51207616 64009520 102415232 128019040 204830464 256038080 409660928 512076160 1024152320 2048304640