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2422484064 = 2533711132801
BaseRepresentation
bin1001000001100100…
…0010110001100000
320020211022221102000
42100121002301200
514430123442224
61040214124000
7114013526520
oct22031026140
96224287360
102422484064
11103347a150
12577350600
132c7b5b930
1418da33680
15e2a180c9
hex90642c60

2422484064 has 384 divisors, whose sum is σ = 9490037760. Its totient is φ = 580608000.

The previous prime is 2422484047. The next prime is 2422484069. The reversal of 2422484064 is 4604842242.

It is a happy number.

2422484064 is a `hidden beast` number, since 2 + 4 + 2 + 248 + 406 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2422484069) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 863464 + ... + 866264.

It is an arithmetic number, because the mean of its divisors is an integer number (24713640).

Almost surely, 22422484064 is an apocalyptic number.

2422484064 is a gapful number since it is divisible by the number (24) 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 2422484064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4745018880).

2422484064 is an abundant number, since it is smaller than the sum of its proper divisors (7067553696).

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

2422484064 is a wasteful number, since it uses less digits than its factorization.

2422484064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2851 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 2422484064 is about 49218.7369199983. The cubic root of 2422484064 is about 1343.0339039301.

The spelling of 2422484064 in words is "two billion, four hundred twenty-two million, four hundred eighty-four thousand, sixty-four".