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2572871040 = 27345311601
BaseRepresentation
bin1001100101011010…
…1110010110000000
320122022022101120000
42121112232112000
520232123333130
61103145320000
7120521020515
oct23126562600
96568271500
102572871040
111100356103
125b9796000
133200649cc
141a59bd30c
15100d22260
hex995ae580

2572871040 has 320 divisors, whose sum is σ = 9490504320. Its totient is φ = 663552000.

The previous prime is 2572871033. The next prime is 2572871113. The reversal of 2572871040 is 401782752.

2572871040 is a `hidden beast` number, since 2 + 572 + 87 + 1 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 2572870986 and 2572871004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1606240 + ... + 1607840.

It is an arithmetic number, because the mean of its divisors is an integer number (29657826).

Almost surely, 22572871040 is an apocalyptic number.

2572871040 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 2572871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4745252160).

2572871040 is an abundant number, since it is smaller than the sum of its proper divisors (6917633280).

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

2572871040 is a wasteful number, since it uses less digits than its factorization.

2572871040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 2572871040 is about 50723.4762215683. The cubic root of 2572871040 is about 1370.2695475456.

The spelling of 2572871040 in words is "two billion, five hundred seventy-two million, eight hundred seventy-one thousand, forty".