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2884079040480 = 2534511472391801
BaseRepresentation
bin101001111110000000100…
…000011011011111100000
3101012201022102112101120000
4221332000200123133200
5334223043213243410
610044532211020000
7415240111234011
oct51760040333740
911181272471500
102884079040480
11a121494810a0
123a6b5429a600
1317bc7674c971
149d8395db008
155004c927dc0
hex29f8081b7e0

2884079040480 has 960 divisors, whose sum is σ = 11393723658240. Its totient is φ = 681053184000.

The previous prime is 2884079040473. The next prime is 2884079040487. The reversal of 2884079040480 is 840409704882.

2884079040480 is a `hidden beast` number, since 2 + 88 + 40 + 7 + 9 + 0 + 40 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (2884079040473) and next prime (2884079040487).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2884079040487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1601375580 + ... + 1601377380.

It is an arithmetic number, because the mean of its divisors is an integer number (11868462144).

Almost surely, 22884079040480 is an apocalyptic number.

2884079040480 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 2884079040480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5696861829120).

2884079040480 is an abundant number, since it is smaller than the sum of its proper divisors (8509644617760).

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

2884079040480 is a wasteful number, since it uses less digits than its factorization.

2884079040480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 2884079040480 in words is "two trillion, eight hundred eighty-four billion, seventy-nine million, forty thousand, four hundred eighty".