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2530380000 = 25354181233
BaseRepresentation
bin1001011011010010…
…1000100011100000
320112100100121210210
42112310220203200
520140234130000
61055030454120
7116463606111
oct22664504340
96470317723
102530380000
111089373a45
125a7504340
13314308395
141a00bc208
15ec22c350
hex96d288e0

2530380000 has 240 divisors, whose sum is σ = 8381829456. Its totient is φ = 668160000.

The previous prime is 2530379987. The next prime is 2530380059. The reversal of 2530380000 is 830352.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 10859884 + ... + 10860116.

Almost surely, 22530380000 is an apocalyptic number.

2530380000 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 2530380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4190914728).

2530380000 is an abundant number, since it is smaller than the sum of its proper divisors (5851449456).

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

2530380000 is a wasteful number, since it uses less digits than its factorization.

2530380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2530380000 is about 50302.8826211779. The cubic root of 2530380000 is about 1362.6842889629.

The spelling of 2530380000 in words is "two billion, five hundred thirty million, three hundred eighty thousand".