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2480670720 = 211325112447
BaseRepresentation
bin1001001111011100…
…0000100000000000
320101212211010111100
42103313000200000
520040022430340
61050053214400
7115321232103
oct22367004000
96355733440
102480670720
1110633016a0
12592931400
13306c223c8
1419765c73a
15e7bad830
hex93dc0800

2480670720 has 288 divisors, whose sum is σ = 9382988160. Its totient is φ = 601128960.

The previous prime is 2480670707. The next prime is 2480670739. The reversal of 2480670720 is 270760842.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1012537 + ... + 1014983.

It is an arithmetic number, because the mean of its divisors is an integer number (32579820).

Almost surely, 22480670720 is an apocalyptic number.

2480670720 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 2480670720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4691494080).

2480670720 is an abundant number, since it is smaller than the sum of its proper divisors (6902317440).

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

2480670720 is a wasteful number, since it uses less digits than its factorization.

2480670720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2491 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2480670720 is about 49806.3321275518. The cubic root of 2480670720 is about 1353.7019053772.

The spelling of 2480670720 in words is "two billion, four hundred eighty million, six hundred seventy thousand, seven hundred twenty".