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2442948480 = 27325760589
BaseRepresentation
bin1001000110011100…
…0110111110000000
320022020211122022100
42101213012332000
520000343322410
61042224510400
7114352501530
oct22147067600
96266748270
102442948480
111043a87395
1258217b400
132cc17555b
1419263d4c0
15e470b8c0
hex919c6f80

2442948480 has 192 divisors, whose sum is σ = 9641080800. Its totient is φ = 558379008.

The previous prime is 2442948449. The next prime is 2442948481. The reversal of 2442948480 is 848492442.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442948481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10026 + ... + 70614.

Almost surely, 22442948480 is an apocalyptic number.

2442948480 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 2442948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4820540400).

2442948480 is an abundant number, since it is smaller than the sum of its proper divisors (7198132320).

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

2442948480 is a wasteful number, since it uses less digits than its factorization.

2442948480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60621 (or 60606 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 2442948480 is about 49426.1922466216. The cubic root of 2442948480 is about 1346.8051530075.

The spelling of 2442948480 in words is "two billion, four hundred forty-two million, nine hundred forty-eight thousand, four hundred eighty".