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2688568122240 = 2734571113197263
BaseRepresentation
bin100111000111111011001…
…001011101101110000000
3100112000122221020200120000
4213013323021131232000
5323022141414402430
65415040001320000
7365146136654640
oct47077311355600
910460587220500
102688568122240
11947240683520
12375090036000
131666b94837b0
14941ad7c2520
1549e08636e60
hex271fb25db80

2688568122240 has 2560 divisors, whose sum is σ = 13006043043840. Its totient is φ = 511120834560.

The previous prime is 2688568122223. The next prime is 2688568122263. The reversal of 2688568122240 is 422218658862.

2688568122240 is a `hidden beast` number, since 2 + 6 + 8 + 8 + 568 + 12 + 22 + 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 319 ways as a sum of consecutive naturals, for example, 10222692349 + ... + 10222692611.

It is an arithmetic number, because the mean of its divisors is an integer number (5080485564).

Almost surely, 22688568122240 is an apocalyptic number.

2688568122240 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 2688568122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6503021521920).

2688568122240 is an abundant number, since it is smaller than the sum of its proper divisors (10317474921600).

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

2688568122240 is a wasteful number, since it uses less digits than its factorization.

2688568122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 2688568122240 in words is "two trillion, six hundred eighty-eight billion, five hundred sixty-eight million, one hundred twenty-two thousand, two hundred forty".