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2406666240 = 212325111187
BaseRepresentation
bin1000111101110010…
…1101000000000000
320012201120022102200
42033130231000000
514412101304430
61034451113200
7113432216436
oct21734550000
96181508380
102406666240
111025555a70
12571ba2800
132c47b0c84
1418b8b6d56
15e1441460
hex8f72d000

2406666240 has 312 divisors, whose sum is σ = 9108129888. Its totient is φ = 582942720.

The previous prime is 2406666151. The next prime is 2406666253. The reversal of 2406666240 is 426666042.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2406666195 and 2406666204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2026927 + ... + 2028113.

It is an arithmetic number, because the mean of its divisors is an integer number (29192724).

Almost surely, 22406666240 is an apocalyptic number.

2406666240 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 2406666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4554064944).

2406666240 is an abundant number, since it is smaller than the sum of its proper divisors (6701463648).

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

2406666240 is a wasteful number, since it uses less digits than its factorization.

2406666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2406666240 is about 49057.7847033475. The cubic root of 2406666240 is about 1340.1043655254.

The spelling of 2406666240 in words is "two billion, four hundred six million, six hundred sixty-six thousand, two hundred forty".