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2530036080 = 2433511138191
BaseRepresentation
bin1001011011001101…
…0100100101110000
320112022201011001000
42112303110211300
520140142123310
61055015242000
7116460644325
oct22663244560
96468634030
102530036080
111089159610
125a7379300
13314217990
141a002cb4c
15ec1b04c0
hex96cd4970

2530036080 has 320 divisors, whose sum is σ = 10239344640. Its totient is φ = 566092800.

The previous prime is 2530036057. The next prime is 2530036097. The reversal of 2530036080 is 806300352.

2530036080 is a `hidden beast` number, since 2 + 53 + 0 + 0 + 3 + 608 + 0 = 666.

It is a super-2 number, since 2×25300360802 = 12802165132203532800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 304785 + ... + 312975.

It is an arithmetic number, because the mean of its divisors is an integer number (31997952).

Almost surely, 22530036080 is an apocalyptic number.

2530036080 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 2530036080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5119672320).

2530036080 is an abundant number, since it is smaller than the sum of its proper divisors (7709308560).

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

2530036080 is a wasteful number, since it uses less digits than its factorization.

2530036080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8237 (or 8225 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2530036080 is about 50299.4640130489. The cubic root of 2530036080 is about 1362.6225491432.

The spelling of 2530036080 in words is "two billion, five hundred thirty million, thirty-six thousand, eighty".