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2750964480 = 2832511171277
BaseRepresentation
bin1010001111111000…
…0110001100000000
321002201102110211100
42203332012030000
521113221330410
61132550414400
7125112545415
oct24376061400
97081373740
102750964480
111191936370
12649361400
1334ac1bb44
141c14dc10c
151117a08c0
hexa3f86300

2750964480 has 432 divisors, whose sum is σ = 11002721184. Its totient is φ = 627179520.

The previous prime is 2750964449. The next prime is 2750964481. The reversal of 2750964480 is 844690572.

It is a happy number.

2750964480 is a `hidden beast` number, since 2 + 7 + 509 + 64 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2750964481) 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 47 ways as a sum of consecutive naturals, for example, 2153602 + ... + 2154878.

It is an arithmetic number, because the mean of its divisors is an integer number (25469262).

Almost surely, 22750964480 is an apocalyptic number.

2750964480 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 2750964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5501360592).

2750964480 is an abundant number, since it is smaller than the sum of its proper divisors (8251756704).

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

2750964480 is a wasteful number, since it uses less digits than its factorization.

2750964480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2750964480 is about 52449.6375583283. The cubic root of 2750964480 is about 1401.1834347225.

The spelling of 2750964480 in words is "two billion, seven hundred fifty million, nine hundred sixty-four thousand, four hundred eighty".