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2574134640 = 243457211267
BaseRepresentation
bin1001100101101110…
…0010110101110000
320122101200120220000
42121123202311300
520232434302030
61103232350000
7120534532500
oct23133426560
96571616800
102574134640
111101039500
125ba0a5300
133203b7bbc
141a5c2ba00
15100ec1860
hex996e2d70

2574134640 has 900 divisors, whose sum is σ = 11602023048. Its totient is φ = 526901760.

The previous prime is 2574134639. The next prime is 2574134653. The reversal of 2574134640 is 464314752.

2574134640 is a `hidden beast` number, since 2 + 5 + 7 + 4 + 1 + 3 + 4 + 640 = 666.

2574134640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 2574134595 and 2574134604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 38419887 + ... + 38419953.

Almost surely, 22574134640 is an apocalyptic number.

2574134640 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 2574134640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5801011524).

2574134640 is an abundant number, since it is smaller than the sum of its proper divisors (9027888408).

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

2574134640 is a wasteful number, since it uses less digits than its factorization.

2574134640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2574134640 is about 50735.9304635285. The cubic root of 2574134640 is about 1370.4938351468.

The spelling of 2574134640 in words is "two billion, five hundred seventy-four million, one hundred thirty-four thousand, six hundred forty".