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2442866688 = 2123437199
BaseRepresentation
bin1001000110011011…
…0011000000000000
320022020200111010000
42101212303000000
520000333213223
61042223040000
7114352011213
oct22146630000
96266614100
102442866688
111043a30999
12582140000
132cc147262
1419261b77a
15e46e2543
hex919b3000

2442866688 has 260 divisors, whose sum is σ = 7532443600. Its totient is φ = 788299776.

The previous prime is 2442866687. The next prime is 2442866711. The reversal of 2442866688 is 8866682442.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2442866687) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12275613 + ... + 12275811.

Almost surely, 22442866688 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 2442866688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3766221800).

2442866688 is an abundant number, since it is smaller than the sum of its proper divisors (5089576912).

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

2442866688 is an equidigital number, since it uses as much as digits as its factorization.

2442866688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 241 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The square root of 2442866688 is about 49425.3648241467. The cubic root of 2442866688 is about 1346.7901221111.

The spelling of 2442866688 in words is "two billion, four hundred forty-two million, eight hundred sixty-six thousand, six hundred eighty-eight".