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2401055440 = 24574287599
BaseRepresentation
bin1000111100011101…
…0011001011010000
320012100000020212021
42033013103023100
514404132233230
61034130541224
7113333430430
oct21707231320
96170006767
102401055440
111022373543
12570137814
132c3598184
1418ac562c0
15e0bd3c7a
hex8f1d32d0

2401055440 has 40 divisors (see below), whose sum is σ = 6379948800. Its totient is φ = 823218816.

The previous prime is 2401055417. The next prime is 2401055471. The reversal of 2401055440 is 445501042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2143240 + ... + 2144359.

It is an arithmetic number, because the mean of its divisors is an integer number (159498720).

Almost surely, 22401055440 is an apocalyptic number.

2401055440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2401055440 is an abundant number, since it is smaller than the sum of its proper divisors (3978893360).

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

2401055440 is a wasteful number, since it uses less digits than its factorization.

2401055440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4287619 (or 4287613 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 2401055440 is about 49000.5657110201. The cubic root of 2401055440 is about 1339.0621342661.

Adding to 2401055440 its reverse (445501042), we get a palindrome (2846556482).

The spelling of 2401055440 in words is "two billion, four hundred one million, fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 4287599 8575198 17150396 21437995 30013193 34300792 42875990 60026386 68601584 85751980 120052772 150065965 171503960 240105544 300131930 343007920 480211088 600263860 1200527720 2401055440