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2480232960 = 29375443
BaseRepresentation
bin1001001111010101…
…0101101000000000
320101211222220000000
42103311111220000
520034414423320
61050040000000
7115314426612
oct22365255000
96354886000
102480232960
111063032807
12592760000
13306acb08a
14197586db2
15e7b23c90
hex93d55a00

2480232960 has 320 divisors, whose sum is σ = 8938892160. Its totient is φ = 659902464.

The previous prime is 2480232959. The next prime is 2480232961. The reversal of 2480232960 is 692320842.

It is an interprime number because it is at equal distance from previous prime (2480232959) and next prime (2480232961).

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (2480232961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5598499 + ... + 5598941.

It is an arithmetic number, because the mean of its divisors is an integer number (27934038).

Almost surely, 22480232960 is an apocalyptic number.

2480232960 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 2480232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4469446080).

2480232960 is an abundant number, since it is smaller than the sum of its proper divisors (6458659200).

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

2480232960 is an frugal number, since it uses more digits than its factorization.

2480232960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2480232960 is about 49801.9373117151. The cubic root of 2480232960 is about 1353.6222721550.

The spelling of 2480232960 in words is "two billion, four hundred eighty million, two hundred thirty-two thousand, nine hundred sixty".