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2140717248 = 2636172699
BaseRepresentation
bin111111110011000…
…1100000011000000
312112012010201000000
41333212030003000
513341010422443
6552231000000
7104022540105
oct17746140300
95465121000
102140717248
119a941960a
124b8b09000
13281675cc7
14164448aac
15c7e0b8d3
hex7f98c0c0

2140717248 has 196 divisors, whose sum is σ = 6746214600. Its totient is φ = 671348736.

The previous prime is 2140717199. The next prime is 2140717277. The reversal of 2140717248 is 8427170412.

2140717248 is a `hidden beast` number, since 2 + 1 + 407 + 1 + 7 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 791803 + ... + 794501.

Almost surely, 22140717248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140717248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3373107300).

2140717248 is an abundant number, since it is smaller than the sum of its proper divisors (4605497352).

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

2140717248 is an equidigital number, since it uses as much as digits as its factorization.

2140717248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 2140717248 is about 46267.8857092044. The cubic root of 2140717248 is about 1288.8026965394.

The spelling of 2140717248 in words is "two billion, one hundred forty million, seven hundred seventeen thousand, two hundred forty-eight".