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2628896940 = 2232514604983
BaseRepresentation
bin1001110010110001…
…1100100010101100
320210012201210122100
42130230130202230
520340444200230
61112510215100
7122101153365
oct23454344254
96705653570
102628896940
111129a421aa
126144b4490
1332b84cb27
141ad204b6c
15105bdc660
hex9cb1c8ac

2628896940 has 36 divisors (see below), whose sum is σ = 7974321264. Its totient is φ = 701039136.

The previous prime is 2628896939. The next prime is 2628897059. The reversal of 2628896940 is 496988262.

It is a happy number.

2628896940 is a `hidden beast` number, since 2 + 628 + 8 + 9 + 6 + 9 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×26288969402 = 13822198242282727200, which contains 22 as substring.

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, 7302312 + ... + 7302671.

It is an arithmetic number, because the mean of its divisors is an integer number (221508924).

Almost surely, 22628896940 is an apocalyptic number.

2628896940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2628896940 is an abundant number, since it is smaller than the sum of its proper divisors (5345424324).

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

2628896940 is a wasteful number, since it uses less digits than its factorization.

2628896940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14604998 (or 14604993 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 2628896940 is about 51272.7699661331. The cubic root of 2628896940 is about 1380.1443768291.

The spelling of 2628896940 in words is "two billion, six hundred twenty-eight million, eight hundred ninety-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 14604983 29209966 43814949 58419932 73024915 87629898 131444847 146049830 175259796 219074745 262889694 292099660 438149490 525779388 657224235 876298980 1314448470 2628896940