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2573684520 = 2335112192491
BaseRepresentation
bin1001100101100111…
…0100111100101000
320122100211201102220
42121121310330220
520232330401040
61103214554040
7120530646261
oct23131647450
96570751386
102573684520
111100861300
125b9b08920
1332028b064
141a5b51968
15100e332d0
hex99674f28

2573684520 has 288 divisors, whose sum is σ = 8975201760. Its totient is φ = 589881600.

The previous prime is 2573684479. The next prime is 2573684551. The reversal of 2573684520 is 254863752.

2573684520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5241475 + ... + 5241965.

It is an arithmetic number, because the mean of its divisors is an integer number (31163895).

Almost surely, 22573684520 is an apocalyptic number.

2573684520 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 2573684520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4487600880).

2573684520 is an abundant number, since it is smaller than the sum of its proper divisors (6401517240).

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

2573684520 is a wasteful number, since it uses less digits than its factorization.

2573684520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 2573684520 is about 50731.4943600127. The cubic root of 2573684520 is about 1370.4139477630.

The spelling of 2573684520 in words is "two billion, five hundred seventy-three million, six hundred eighty-four thousand, five hundred twenty".