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2480375040 = 283511134517
BaseRepresentation
bin1001001111010111…
…1000010100000000
320101212021002220020
42103311320110000
520034434000130
61050043013440
7115315561053
oct22365702400
96355232806
102480375040
11106311a530
1259280a280
13306b4a950
141975c2a9a
15e7b50e10
hex93d78500

2480375040 has 288 divisors, whose sum is σ = 9308670336. Its totient is φ = 554926080.

The previous prime is 2480375011. The next prime is 2480375081. The reversal of 2480375040 is 405730842.

It is a hoax number, since the sum of its digits (33) 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 (33).

It is a junction number, because it is equal to n+sod(n) for n = 2480374992 and 2480375010.

It is a congruent number.

It is an unprimeable number.

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, 546862 + ... + 551378.

It is an arithmetic number, because the mean of its divisors is an integer number (32321772).

Almost surely, 22480375040 is an apocalyptic number.

2480375040 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 2480375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4654335168).

2480375040 is an abundant number, since it is smaller than the sum of its proper divisors (6828295296).

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

2480375040 is a wasteful number, since it uses less digits than its factorization.

2480375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4565 (or 4551 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 2480375040 is about 49803.3637418197. The cubic root of 2480375040 is about 1353.6481190524.

The spelling of 2480375040 in words is "two billion, four hundred eighty million, three hundred seventy-five thousand, forty".