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2494292268160 = 27573112397463
BaseRepresentation
bin100100010010111111011…
…001111001010010000000
322211110012111221202002001
4210102333121321102000
5311331302310040120
65145510111433344
7345130613314000
oct44227731712200
98743174852061
102494292268160
11881906a60930
123434b1525854
13151298037b14
1488a1da24000
1544d379aae0a
hex244bf679480

2494292268160 has 1024 divisors, whose sum is σ = 8014712832000. Its totient is φ = 734383964160.

The previous prime is 2494292268121. The next prime is 2494292268161. The reversal of 2494292268160 is 618622924942.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (2494292268161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5387240089 + ... + 5387240551.

It is an arithmetic number, because the mean of its divisors is an integer number (7826868000).

Almost surely, 22494292268160 is an apocalyptic number.

2494292268160 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 2494292268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007356416000).

2494292268160 is an abundant number, since it is smaller than the sum of its proper divisors (5520420563840).

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

2494292268160 is a wasteful number, since it uses less digits than its factorization.

2494292268160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 55.

The spelling of 2494292268160 in words is "two trillion, four hundred ninety-four billion, two hundred ninety-two million, two hundred sixty-eight thousand, one hundred sixty".