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2489688000 = 263253151229
BaseRepresentation
bin1001010001100101…
…1001111111000000
320102111210020212200
42110121121333000
520044330004000
61051014353200
7115460666412
oct22431317700
96374706780
102489688000
111068400498
1259595b800
13308a5b887
141989289b2
15e8890500
hex94659fc0

2489688000 has 336 divisors, whose sum is σ = 9004157760. Its totient is φ = 656640000.

The previous prime is 2489687999. The next prime is 2489688001. The reversal of 2489688000 is 8869842.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2489687999) and next prime (2489688001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2489688001) 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, 10871886 + ... + 10872114.

Almost surely, 22489688000 is an apocalyptic number.

2489688000 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 2489688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4502078880).

2489688000 is an abundant number, since it is smaller than the sum of its proper divisors (6514469760).

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

2489688000 is a wasteful number, since it uses less digits than its factorization.

2489688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 2489688000 is about 49896.7734427788. The cubic root of 2489688000 is about 1355.3401650468.

It can be divided in two parts, 24896 and 88000, that added together give a square (112896 = 3362).

The spelling of 2489688000 in words is "two billion, four hundred eighty-nine million, six hundred eighty-eight thousand".