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2494255357440 = 293257211219312
BaseRepresentation
bin100100010010111101001…
…101000101111000000000
322211110002221111111002100
4210102331031011320000
5311331213332414230
65145502312350400
7345126654503400
oct44227515057000
98743087444070
102494255357440
11881898140300
123434a10a5400
131512904b3462
1488a18b76800
1544d34619660
hex244bd345e00

2494255357440 has 3240 divisors, whose sum is σ = 12013677716040. Its totient is φ = 475169587200.

The previous prime is 2494255357427. The next prime is 2494255357547. The reversal of 2494255357440 is 447535524942.

2494255357440 is a `hidden beast` number, since 2 + 4 + 9 + 4 + 25 + 5 + 3 + 574 + 40 = 666.

It is a congruent number.

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 323 ways as a sum of consecutive naturals, for example, 80459850225 + ... + 80459850255.

It is an arithmetic number, because the mean of its divisors is an integer number (3707925221).

Almost surely, 22494255357440 is an apocalyptic number.

2494255357440 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 2494255357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6006838858020).

2494255357440 is an abundant number, since it is smaller than the sum of its proper divisors (9519422358600).

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

2494255357440 is a wasteful number, since it uses less digits than its factorization.

2494255357440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 54.

The spelling of 2494255357440 in words is "two trillion, four hundred ninety-four billion, two hundred fifty-five million, three hundred fifty-seven thousand, four hundred forty".