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2642422608 = 243373171049
BaseRepresentation
bin1001110110000000…
…0010101101010000
320211011011222101000
42131200002231100
520402430010413
61114112142000
7122324136000
oct23540025520
96734158330
102642422608
111136640241
12618b37900
133315a7397
141b0d26000
15106eb0073
hex9d802b50

2642422608 has 320 divisors, whose sum is σ = 9374400000. Its totient is φ = 709890048.

The previous prime is 2642422603. The next prime is 2642422613. The reversal of 2642422608 is 8062242462.

2642422608 is a `hidden beast` number, since 2 + 6 + 4 + 2 + 42 + 2 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (2642422603) and next prime (2642422613).

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 (2642422603) 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, 2518468 + ... + 2519516.

It is an arithmetic number, because the mean of its divisors is an integer number (29295000).

Almost surely, 22642422608 is an apocalyptic number.

2642422608 is a gapful number since it is divisible by the number (28) 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 2642422608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687200000).

2642422608 is an abundant number, since it is smaller than the sum of its proper divisors (6731977392).

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

2642422608 is a wasteful number, since it uses less digits than its factorization.

2642422608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2642422608 is about 51404.4998808470. The cubic root of 2642422608 is about 1382.5072755052.

The spelling of 2642422608 in words is "two billion, six hundred forty-two million, four hundred twenty-two thousand, six hundred eight".