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2080002240 = 26355231163
BaseRepresentation
bin111101111111010…
…0101000011000000
312100221220001200000
41323332211003000
513224440032430
6542221400000
7102354504321
oct17376450300
95327801600
102080002240
1197811a518
124a0709000
13271c08774
1415a362448
15c2916e60
hex7bfa50c0

2080002240 has 336 divisors, whose sum is σ = 7748552448. Its totient is φ = 530095104.

The previous prime is 2080002233. The next prime is 2080002247. The reversal of 2080002240 is 422000802.

It is an interprime number because it is at equal distance from previous prime (2080002233) and next prime (2080002247).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2080002247) 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, 1787899 + ... + 1789061.

It is an arithmetic number, because the mean of its divisors is an integer number (23061168).

Almost surely, 22080002240 is an apocalyptic number.

2080002240 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 2080002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874276224).

2080002240 is an abundant number, since it is smaller than the sum of its proper divisors (5668550208).

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

2080002240 is a wasteful number, since it uses less digits than its factorization.

2080002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2080002240 is about 45607.0415615834. The cubic root of 2080002240 is about 1276.5013180029.

The spelling of 2080002240 in words is "two billion, eighty million, two thousand, two hundred forty".