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2485188640 = 255112329273
BaseRepresentation
bin1001010000100000…
…1111100000100000
320102012022122220201
42110020033200200
520042202014030
61050334114544
7115404516634
oct22410174040
96365278821
102485188640
111065908010
1259434ba54
13307b4492c
141980b6dc4
15e82a22ca
hex9420f820

2485188640 has 288 divisors, whose sum is σ = 7016720256. Its totient is φ = 823173120.

The previous prime is 2485188593. The next prime is 2485188649. The reversal of 2485188640 is 468815842.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (2485188649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34043644 + ... + 34043716.

It is an arithmetic number, because the mean of its divisors is an integer number (24363612).

Almost surely, 22485188640 is an apocalyptic number.

2485188640 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 2485188640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508360128).

2485188640 is an abundant number, since it is smaller than the sum of its proper divisors (4531531616).

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

2485188640 is a wasteful number, since it uses less digits than its factorization.

2485188640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 46.

The square root of 2485188640 is about 49851.6663713461. Note that the first 3 decimals coincide. The cubic root of 2485188640 is about 1354.5232165580.

The spelling of 2485188640 in words is "two billion, four hundred eighty-five million, one hundred eighty-eight thousand, six hundred forty".