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2485465920 = 263257314197
BaseRepresentation
bin1001010000100101…
…0011001101000000
320102012211202021100
42110021103031000
520042234402140
61050344054400
7115410053220
oct22411231500
96365752240
102485465920
111065a87373
12594464400
13307c10bc2
1419814a080
15e8309530
hex94253340

2485465920 has 672 divisors, whose sum is σ = 10437912576. Its totient is φ = 530841600.

The previous prime is 2485465907. The next prime is 2485465933. The reversal of 2485465920 is 295645842.

2485465920 is a `hidden beast` number, since 2 + 4 + 8 + 54 + 6 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2485465907) and next prime (2485465933).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25623312 + ... + 25623408.

It is an arithmetic number, because the mean of its divisors is an integer number (15532608).

Almost surely, 22485465920 is an apocalyptic number.

2485465920 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 2485465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5218956288).

2485465920 is an abundant number, since it is smaller than the sum of its proper divisors (7952446656).

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

2485465920 is a wasteful number, since it uses less digits than its factorization.

2485465920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 2485465920 is about 49854.4473442440. The cubic root of 2485465920 is about 1354.5735907662.

The spelling of 2485465920 in words is "two billion, four hundred eighty-five million, four hundred sixty-five thousand, nine hundred twenty".