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2420370480 = 2435111973661
BaseRepresentation
bin1001000001000011…
…1110110000110000
320020200100120010010
42100100332300300
514424103323410
61040100534520
7113656544463
oct22020766060
96220316103
102420370480
111032266190
125766b1440
132c759b8a8
1418d6432da
15e274bc20
hex9043ec30

2420370480 has 320 divisors, whose sum is σ = 8747297280. Its totient is φ = 547430400.

The previous prime is 2420370439. The next prime is 2420370509. The reversal of 2420370480 is 840730242.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3661350 + ... + 3662010.

It is an arithmetic number, because the mean of its divisors is an integer number (27335304).

Almost surely, 22420370480 is an apocalyptic number.

2420370480 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 2420370480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4373648640).

2420370480 is an abundant number, since it is smaller than the sum of its proper divisors (6326926800).

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

2420370480 is a wasteful number, since it uses less digits than its factorization.

2420370480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 2420370480 is about 49197.2608993631. The cubic root of 2420370480 is about 1342.6431974146.

The spelling of 2420370480 in words is "two billion, four hundred twenty million, three hundred seventy thousand, four hundred eighty".