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2468138367240 = 2334573132943137
BaseRepresentation
bin100011111010101000100…
…000101011100100001000
322201221200210202220210000
4203322220200223210020
5310414221410222430
65125502550523000
7343213524654000
oct43725040534410
98657623686700
102468138367240
11871805844a87
1233a412666460
1314b98a72aac0
148765c30b000
1544306856e60
hex23ea882b908

2468138367240 has 2560 divisors, whose sum is σ = 11108845440000. Its totient is φ = 487515635712.

The previous prime is 2468138367217. The next prime is 2468138367259. The reversal of 2468138367240 is 427638318642.

2468138367240 is a `hidden beast` number, since 2 + 4 + 6 + 8 + 1 + 38 + 367 + 240 = 666.

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

It is an unprimeable number.

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 639 ways as a sum of consecutive naturals, for example, 18015608452 + ... + 18015608588.

It is an arithmetic number, because the mean of its divisors is an integer number (4339392750).

Almost surely, 22468138367240 is an apocalyptic number.

2468138367240 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 2468138367240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5554422720000).

2468138367240 is an abundant number, since it is smaller than the sum of its proper divisors (8640707072760).

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

2468138367240 is a wasteful number, since it uses less digits than its factorization.

2468138367240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 2468138367240 in words is "two trillion, four hundred sixty-eight billion, one hundred thirty-eight million, three hundred sixty-seven thousand, two hundred forty".