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2098284480 = 263352310559
BaseRepresentation
bin111110100010001…
…0100011111000000
312102020021220012000
41331010110133000
513244130100410
6544113304000
7102666060315
oct17504243700
95366256160
102098284480
11987477206
124a6865000
1327593a066
1415c960d0c
15c4328dc0
hex7d1147c0

2098284480 has 224 divisors, whose sum is σ = 7724851200. Its totient is φ = 535163904.

The previous prime is 2098284427. The next prime is 2098284481. The reversal of 2098284480 is 844828902.

It is a happy number.

2098284480 is a `hidden beast` number, since 2 + 0 + 98 + 2 + 84 + 480 = 666.

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 (2098284481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193441 + ... + 203999.

Almost surely, 22098284480 is an apocalyptic number.

2098284480 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 2098284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862425600).

2098284480 is an abundant number, since it is smaller than the sum of its proper divisors (5626566720).

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

2098284480 is a wasteful number, since it uses less digits than its factorization.

2098284480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10608 (or 10592 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 2098284480 is about 45807.0352675220. The cubic root of 2098284480 is about 1280.2303621850.

The spelling of 2098284480 in words is "two billion, ninety-eight million, two hundred eighty-four thousand, four hundred eighty".