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2658630240 = 253257241919
BaseRepresentation
bin1001111001110111…
…0111101001100000
320212021200102001200
42132131313221200
520421102131430
61115451401200
7122611661400
oct23635675140
96767612050
102658630240
111144800282
12622453200
13334a605b6
141b3144800
15108612460
hex9e777a60

2658630240 has 432 divisors, whose sum is σ = 10822986720. Its totient is φ = 592220160.

The previous prime is 2658630239. The next prime is 2658630241. The reversal of 2658630240 is 420368562.

2658630240 is a `hidden beast` number, since 2 + 6 + 586 + 30 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2658630239) and next prime (2658630241).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2658630195 and 2658630204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2658630241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2892501 + ... + 2893419.

It is an arithmetic number, because the mean of its divisors is an integer number (25053210).

Almost surely, 22658630240 is an apocalyptic number.

2658630240 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 2658630240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5411493360).

2658630240 is an abundant number, since it is smaller than the sum of its proper divisors (8164356480).

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

2658630240 is a wasteful number, since it uses less digits than its factorization.

2658630240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2658630240 is about 51561.9068693158. The cubic root of 2658630240 is about 1385.3281102152.

The spelling of 2658630240 in words is "two billion, six hundred fifty-eight million, six hundred thirty thousand, two hundred forty".