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2000940480 = 2632572111289
BaseRepresentation
bin111011101000011…
…1110110111000000
312011110010022022200
41313100332313000
513044220043410
6530315033200
7100404466500
oct16720766700
95143108280
102000940480
1193752a220
1247a13b800
1325b716466
1414da61a00
15ba9eb3c0
hex7743edc0

2000940480 has 504 divisors, whose sum is σ = 8740658160. Its totient is φ = 415457280.

The previous prime is 2000940479. The next prime is 2000940481. The reversal of 2000940480 is 840490002.

It is an interprime number because it is at equal distance from previous prime (2000940479) and next prime (2000940481).

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000940481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1551676 + ... + 1552964.

Almost surely, 22000940480 is an apocalyptic number.

2000940480 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 2000940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4370329080).

2000940480 is an abundant number, since it is smaller than the sum of its proper divisors (6739717680).

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

2000940480 is a wasteful number, since it uses less digits than its factorization.

2000940480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2000940480 is about 44731.8732002137. The cubic root of 2000940480 is about 1260.1185073721.

The spelling of 2000940480 in words is "two billion, nine hundred forty thousand, four hundred eighty".