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2422405440 = 26345713279
BaseRepresentation
bin1001000001100010…
…1111100101000000
320020211011221120000
42100120233211000
514430113433230
61040212320000
7114013051350
oct22030574500
96224157500
102422405440
111033426074
12577313000
132c7b31c00
1418da12b60
15e29eeb60
hex9062f940

2422405440 has 840 divisors, whose sum is σ = 10798698240. Its totient is φ = 504631296.

The previous prime is 2422405411. The next prime is 2422405457. The reversal of 2422405440 is 445042242.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 30663321 + ... + 30663399.

Almost surely, 22422405440 is an apocalyptic number.

2422405440 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 2422405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5399349120).

2422405440 is an abundant number, since it is smaller than the sum of its proper divisors (8376292800).

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

2422405440 is a wasteful number, since it uses less digits than its factorization.

2422405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 2422405440 is about 49217.9381933051. The cubic root of 2422405440 is about 1343.0193739631.

Adding to 2422405440 its reverse (445042242), we get a palindrome (2867447682).

The spelling of 2422405440 in words is "two billion, four hundred twenty-two million, four hundred five thousand, four hundred forty".