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2094251840 = 265139197239
BaseRepresentation
bin111110011010011…
…1011111101000000
312101221201000102222
41330310323331000
513242112024330
6543451030212
7102616563332
oct17464737500
95357630388
102094251840
1198517244a
124a543b368
13274b57695
1415c1d1452
15c3cce0e5
hex7cd3bf40

2094251840 has 112 divisors (see below), whose sum is σ = 5069433600. Its totient is φ = 823990272.

The previous prime is 2094251827. The next prime is 2094251869. The reversal of 2094251840 is 481524902.

2094251840 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2094251840.

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, 8762441 + ... + 8762679.

It is an arithmetic number, because the mean of its divisors is an integer number (45262800).

Almost surely, 22094251840 is an apocalyptic number.

2094251840 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 2094251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534716800).

2094251840 is an abundant number, since it is smaller than the sum of its proper divisors (2975181760).

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

2094251840 is a wasteful number, since it uses less digits than its factorization.

2094251840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 2094251840 is about 45762.9964053929. The cubic root of 2094251840 is about 1279.4096887392.

The spelling of 2094251840 in words is "two billion, ninety-four million, two hundred fifty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 139 160 197 239 278 320 394 478 556 695 788 956 985 1112 1195 1390 1576 1912 1970 2224 2390 2780 3152 3824 3940 4448 4780 5560 6304 7648 7880 8896 9560 11120 12608 15296 15760 19120 22240 27383 31520 33221 38240 44480 47083 54766 63040 66442 76480 94166 109532 132884 136915 166105 188332 219064 235415 265768 273830 332210 376664 438128 470830 531536 547660 664420 753328 876256 941660 1063072 1095320 1328840 1506656 1752512 1883320 2126144 2190640 2657680 3013312 3766640 4381280 5315360 6544537 7533280 8762560 10630720 13089074 15066560 26178148 32722685 52356296 65445370 104712592 130890740 209425184 261781480 418850368 523562960 1047125920 2094251840