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2664061920 = 253351324189
BaseRepresentation
bin1001111011001010…
…0101101111100000
320212122220100221000
42132302211233200
520423444440140
61120204032000
7123006103242
oct23662455740
96778810830
102664061920
111147880173
12624232600
13335c12a00
141b3b5a092
15108d36a30
hex9eca5be0

2664061920 has 576 divisors, whose sum is σ = 10459108800. Its totient is φ = 632586240.

The previous prime is 2664061913. The next prime is 2664061921. The reversal of 2664061920 is 291604662.

2664061920 is a `hidden beast` number, since 2 + 6 + 640 + 6 + 1 + 9 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2664061921) 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 95 ways as a sum of consecutive naturals, for example, 29933236 + ... + 29933324.

It is an arithmetic number, because the mean of its divisors is an integer number (18158175).

Almost surely, 22664061920 is an apocalyptic number.

2664061920 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 2664061920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5229554400).

2664061920 is an abundant number, since it is smaller than the sum of its proper divisors (7795046880).

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

2664061920 is a wasteful number, since it uses less digits than its factorization.

2664061920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2664061920 is about 51614.5514365862. The cubic root of 2664061920 is about 1386.2708939965.

The spelling of 2664061920 in words is "two billion, six hundred sixty-four million, sixty-one thousand, nine hundred twenty".