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2440560640 = 21957219
BaseRepresentation
bin1001000101111000…
…0000000000000000
320022002100022210211
42101132000000000
514444240420030
61042101403504
7114323265100
oct22136000000
96262308724
102440560640
1110426a6371
12581409594
132cb81a72b
141921bb200
15e43d912a
hex91780000

2440560640 has 240 divisors, whose sum is σ = 7172253000. Its totient is φ = 792723456.

The previous prime is 2440560637. The next prime is 2440560641. The reversal of 2440560640 is 460650442.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2440560641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128450551 + ... + 128450569.

Almost surely, 22440560640 is an apocalyptic number.

2440560640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2440560640 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2440560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3586126500).

2440560640 is an abundant number, since it is smaller than the sum of its proper divisors (4731692360).

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

2440560640 is an frugal number, since it uses more digits than its factorization.

2440560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 2440560640 is about 49402.0307274914. The cubic root of 2440560640 is about 1346.3662020683.

The spelling of 2440560640 in words is "two billion, four hundred forty million, five hundred sixty thousand, six hundred forty".