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2874205620 = 22345111319653
BaseRepresentation
bin1010101101010000…
…1110010110110100
321102022022202220000
42223110032112310
521341244034440
61153112111300
7131140226136
oct25324162664
97368282800
102874205620
111245461250
12682695530
1336a60c0b0
141d3a1d056
1511c4e6730
hexab50e5b4

2874205620 has 480 divisors, whose sum is σ = 11167390080. Its totient is φ = 608394240.

The previous prime is 2874205619. The next prime is 2874205651. The reversal of 2874205620 is 265024782.

2874205620 is a `hidden beast` number, since 2 + 8 + 7 + 4 + 20 + 5 + 620 = 666.

2874205620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×28742056202 = 16522115892079168800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4401214 + ... + 4401866.

It is an arithmetic number, because the mean of its divisors is an integer number (23265396).

Almost surely, 22874205620 is an apocalyptic number.

2874205620 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 2874205620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5583695040).

2874205620 is an abundant number, since it is smaller than the sum of its proper divisors (8293184460).

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

2874205620 is a wasteful number, since it uses less digits than its factorization.

2874205620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2874205620 is about 53611.6183303582. The cubic root of 2874205620 is about 1421.8025149025.

The spelling of 2874205620 in words is "two billion, eight hundred seventy-four million, two hundred five thousand, six hundred twenty".