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2114606640 = 24358810861
BaseRepresentation
bin111111000001010…
…0101011000110000
312110101000010222110
41332002211120300
513312314403030
6545455205320
7103254600636
oct17602453060
95411003873
102114606640
119957052a3
124b0216840
13279133443
14160bad356
15c59a01b0
hex7e0a5630

2114606640 has 40 divisors (see below), whose sum is σ = 6555281328. Its totient is φ = 563895040.

The previous prime is 2114606633. The next prime is 2114606651. The reversal of 2114606640 is 466064112.

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

It is a super-2 number, since 2×21146066402 = 8943122483864179200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2114606598 and 2114606607.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4405191 + ... + 4405670.

Almost surely, 22114606640 is an apocalyptic number.

2114606640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114606640 is an abundant number, since it is smaller than the sum of its proper divisors (4440674688).

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

2114606640 is a wasteful number, since it uses less digits than its factorization.

2114606640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8810877 (or 8810871 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2114606640 is about 45984.8522885526. The cubic root of 2114606640 is about 1283.5413487888.

The spelling of 2114606640 in words is "two billion, one hundred fourteen million, six hundred six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 8810861 17621722 26432583 35243444 44054305 52865166 70486888 88108610 105730332 132162915 140973776 176217220 211460664 264325830 352434440 422921328 528651660 704868880 1057303320 2114606640