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2125486608 = 2437173789113
BaseRepresentation
bin111111010110000…
…0101101000010000
312111010110220111020
41332230011220100
513323111032413
6550524315440
7103446223650
oct17654055020
95433426436
102125486608
119a0866603
124b39a2b80
1327b4726ab
14162402360
15c68edc23
hex7eb05a10

2125486608 has 320 divisors, whose sum is σ = 6961697280. Its totient is φ = 544997376.

The previous prime is 2125486577. The next prime is 2125486619. The reversal of 2125486608 is 8066845212.

It is a Cunningham number, because it is equal to 461032-1.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2125486608.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18809560 + ... + 18809672.

It is an arithmetic number, because the mean of its divisors is an integer number (21755304).

Almost surely, 22125486608 is an apocalyptic number.

2125486608 is a gapful number since it is divisible by the number (28) 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 2125486608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480848640).

2125486608 is an abundant number, since it is smaller than the sum of its proper divisors (4836210672).

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

2125486608 is a wasteful number, since it uses less digits than its factorization.

2125486608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 2125486608 is about 46102.9999891547. Note that the first 4 decimals coincide. The cubic root of 2125486608 is about 1285.7389216585.

The spelling of 2125486608 in words is "two billion, one hundred twenty-five million, four hundred eighty-six thousand, six hundred eight".