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2530476000 = 253253135407
BaseRepresentation
bin1001011011010011…
…1111111111100000
320112100112111111100
42112310333333200
520140300213000
61055032514400
7116464456023
oct22664777740
96470474440
102530476000
11108942a088
125a754ba00
1331433cca0
141a01051ba
15ec24aa00
hex96d3ffe0

2530476000 has 288 divisors, whose sum is σ = 9673267968. Its totient is φ = 622771200.

The previous prime is 2530475977. The next prime is 2530476001. The reversal of 2530476000 is 6740352.

It is a happy number.

2530476000 is a `hidden beast` number, since 2 + 53 + 0 + 4 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2530476001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 465297 + ... + 470703.

It is an arithmetic number, because the mean of its divisors is an integer number (33587736).

Almost surely, 22530476000 is an apocalyptic number.

2530476000 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 2530476000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4836633984).

2530476000 is an abundant number, since it is smaller than the sum of its proper divisors (7142791968).

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

2530476000 is a wasteful number, since it uses less digits than its factorization.

2530476000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5451 (or 5430 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2530476000 is about 50303.8368317964. The cubic root of 2530476000 is about 1362.7015216891.

The spelling of 2530476000 in words is "two billion, five hundred thirty million, four hundred seventy-six thousand".