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2340681983640 = 2334571113312751
BaseRepresentation
bin100010000011111011100…
…001001010011010011000
322021202201011002202220000
4202003323201022122120
5301322204041434030
64551143334133000
7331052165404620
oct42037341123230
98252634082800
102340681983640
1182274aa5a570
123197817b1160
1313c957817340
148140a9a7880
1540d46e87860
hex220fb84a698

2340681983640 has 1920 divisors, whose sum is σ = 10929347573760. Its totient is φ = 433900800000.

The previous prime is 2340681983611. The next prime is 2340681983657. The reversal of 2340681983640 is 463891860432.

2340681983640 is a `hidden beast` number, since 2 + 3 + 406 + 8 + 198 + 3 + 6 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3116753265 + ... + 3116754015.

It is an arithmetic number, because the mean of its divisors is an integer number (5692368528).

Almost surely, 22340681983640 is an apocalyptic number.

2340681983640 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 2340681983640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5464673786880).

2340681983640 is an abundant number, since it is smaller than the sum of its proper divisors (8588665590120).

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

2340681983640 is a wasteful number, since it uses less digits than its factorization.

2340681983640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 2340681983640 in words is "two trillion, three hundred forty billion, six hundred eighty-one million, nine hundred eighty-three thousand, six hundred forty".