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2480202385920 = 293257192411039
BaseRepresentation
bin100100000101110111100…
…101010000101000000000
322210002211120100120020200
4210011313211100220000
5311113423302322140
65135220024405200
7344121504303060
oct44056745205000
98702746316220
102480202385920
11876936651856
1234081a916800
1314cb60c187ac
14880846313a0
15447b0a21030
hex24177950a00

2480202385920 has 1440 divisors, whose sum is σ = 10623505052160. Its totient is φ = 523462901760.

The previous prime is 2480202385909. The next prime is 2480202385933. The reversal of 2480202385920 is 295832020842.

2480202385920 is a `hidden beast` number, since 2 + 4 + 8 + 0 + 20 + 2 + 38 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×24802023859202 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2387104761 + ... + 2387105799.

It is an arithmetic number, because the mean of its divisors is an integer number (7377434064).

Almost surely, 22480202385920 is an apocalyptic number.

2480202385920 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 2480202385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5311752526080).

2480202385920 is an abundant number, since it is smaller than the sum of its proper divisors (8143302666240).

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

2480202385920 is a wasteful number, since it uses less digits than its factorization.

2480202385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2480202385920 in words is "two trillion, four hundred eighty billion, two hundred two million, three hundred eighty-five thousand, nine hundred twenty".