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2492143237584 = 2435711213232531
BaseRepresentation
bin100100010000111111010…
…011111111100111010000
322211020122202011200100000
4210100333103333213100
5311312402132100314
65144512542330000
7345023430000510
oct44207723774720
98736582150300
102492143237584
11880a03984400
12342bb1889900
13151014a40bb0
1488898453840
1544c5deab209
hex2443f4ff9d0

2492143237584 has 1440 divisors, whose sum is σ = 10214278244352. Its totient is φ = 571312051200.

The previous prime is 2492143237453. The next prime is 2492143237627. The reversal of 2492143237584 is 4857323412942.

2492143237584 is a `hidden beast` number, since 2 + 4 + 9 + 21 + 4 + 3 + 2 + 37 + 584 = 666.

It is a super-2 number, since 2×24921432375842 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2492143237584.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 984646399 + ... + 984648929.

Almost surely, 22492143237584 is an apocalyptic number.

2492143237584 is a gapful number since it is divisible by the number (24) 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 2492143237584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5107139122176).

2492143237584 is an abundant number, since it is smaller than the sum of its proper divisors (7722135006768).

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

2492143237584 is a wasteful number, since it uses less digits than its factorization.

2492143237584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2590 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 2492143237584 in words is "two trillion, four hundred ninety-two billion, one hundred forty-three million, two hundred thirty-seven thousand, five hundred eighty-four".