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2530371744 = 253341611171
BaseRepresentation
bin1001011011010010…
…0110100010100000
320112100100012111000
42112310212202200
520140233343434
61055030352000
7116463543045
oct22664464240
96470305430
102530371744
11108936881a
125a74bb600
133143046b4
141a00b91cc
15ec229b99
hex96d268a0

2530371744 has 192 divisors, whose sum is σ = 7690757760. Its totient is φ = 808704000.

The previous prime is 2530371743. The next prime is 2530371757. The reversal of 2530371744 is 4471730352.

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 = 2530371699 and 2530371708.

It is not an unprimeable number, because it can be changed into a prime (2530371743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2160279 + ... + 2161449.

It is an arithmetic number, because the mean of its divisors is an integer number (40056030).

Almost surely, 22530371744 is an apocalyptic number.

2530371744 is a gapful number since it is divisible by the number (24) 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 2530371744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3845378880).

2530371744 is an abundant number, since it is smaller than the sum of its proper divisors (5160386016).

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

2530371744 is a wasteful number, since it uses less digits than its factorization.

2530371744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 2530371744 is about 50302.8005582194. The cubic root of 2530371744 is about 1362.6828069280.

The spelling of 2530371744 in words is "two billion, five hundred thirty million, three hundred seventy-one thousand, seven hundred forty-four".