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2340025768080 = 2433573111321699
BaseRepresentation
bin100010000011010100011…
…001111001100010010000
322021201000102022120101000
4202003110121321202100
5301314333044034310
64550554253142000
7331030006563000
oct42032431714220
98251012276330
102340025768080
118224435a6060
12319619a8a900
1313c881898200
148138778a000
1540d095634c0
hex220d4679890

2340025768080 has 1920 divisors, whose sum is σ = 11110003200000. Its totient is φ = 448571934720.

The previous prime is 2340025768033. The next prime is 2340025768099. The reversal of 2340025768080 is 808675200432.

2340025768080 is a `hidden beast` number, since 2 + 3 + 400 + 25 + 76 + 80 + 80 = 666.

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 383 ways as a sum of consecutive naturals, for example, 1377295071 + ... + 1377296769.

It is an arithmetic number, because the mean of its divisors is an integer number (5786460000).

Almost surely, 22340025768080 is an apocalyptic number.

2340025768080 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 2340025768080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5555001600000).

2340025768080 is an abundant number, since it is smaller than the sum of its proper divisors (8769977431920).

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

2340025768080 is a wasteful number, since it uses less digits than its factorization.

2340025768080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2340025768080 in words is "two trillion, three hundred forty billion, twenty-five million, seven hundred sixty-eight thousand, eighty".