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2472394752 = 2143823
BaseRepresentation
bin1001001101011101…
…1100000000000000
320101022020200000000
42103113130000000
520030413113002
61045200000000
7115161002652
oct22327340000
96338220000
102472394752
111059669853
12590000000
133052b5499
141965066d2
15e70c661c
hex935dc000

2472394752 has 270 divisors, whose sum is σ = 7739041128. Its totient is φ = 788299776.

The previous prime is 2472394747. The next prime is 2472394777. The reversal of 2472394752 is 2574932742.

It is a super-2 number, since 2×24723947522 = 12225471619434283008, which contains 22 as substring.

Its product of digits (846720) is a multiple of the sum of its prime divisors (28).

It is a junction number, because it is equal to n+sod(n) for n = 2472394698 and 2472394707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 107495413 + ... + 107495435.

Almost surely, 22472394752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2472394752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3869520564).

2472394752 is an abundant number, since it is smaller than the sum of its proper divisors (5266646376).

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

2472394752 is an frugal number, since it uses more digits than its factorization.

2472394752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 28 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 2472394752 is about 49723.1812337063. The cubic root of 2472394752 is about 1352.1948297125.

The spelling of 2472394752 in words is "two billion, four hundred seventy-two million, three hundred ninety-four thousand, seven hundred fifty-two".