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2125873840 = 24559461977
BaseRepresentation
bin111111010110110…
…0100001010110000
312111011012120200011
41332231210022300
513323210430330
6550540504304
7103452425626
oct17655441260
95434176604
102125873840
119a1000532
124b3b4b094
1327b579a1c
141624a3516
15c697882a
hex7eb642b0

2125873840 has 80 divisors (see below), whose sum is σ = 5042489760. Its totient is φ = 833269760.

The previous prime is 2125873837. The next prime is 2125873889. The reversal of 2125873840 is 483785212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2125873793 and 2125873802.

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, 2175432 + ... + 2176408.

It is an arithmetic number, because the mean of its divisors is an integer number (63031122).

Almost surely, 22125873840 is an apocalyptic number.

2125873840 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 2125873840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521244880).

2125873840 is an abundant number, since it is smaller than the sum of its proper divisors (2916615920).

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

2125873840 is a wasteful number, since it uses less digits than its factorization.

2125873840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 2125873840 is about 46107.1994378318. The cubic root of 2125873840 is about 1285.8169977439.

The spelling of 2125873840 in words is "two billion, one hundred twenty-five million, eight hundred seventy-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 461 472 590 922 944 977 1180 1844 1954 2305 2360 3688 3908 4610 4720 4885 7376 7816 9220 9770 15632 18440 19540 27199 36880 39080 54398 57643 78160 108796 115286 135995 217592 230572 271990 288215 435184 450397 461144 543980 576430 900794 922288 1087960 1152860 1801588 2175920 2251985 2305720 3603176 4503970 4611440 7206352 9007940 18015880 26573423 36031760 53146846 106293692 132867115 212587384 265734230 425174768 531468460 1062936920 2125873840