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2130602240 = 285131923293
BaseRepresentation
bin111111011111110…
…0110100100000000
312111111002210211002
41332333212210000
513330413232430
6551230111132
7103540551224
oct17677464400
95444083732
102130602240
119a373aaa8
124b564b4a8
1327c543cb0
14162d74784
15c70ae845
hex7efe6900

2130602240 has 288 divisors, whose sum is σ = 6057434880. Its totient is φ = 710443008.

The previous prime is 2130602213. The next prime is 2130602303. The reversal of 2130602240 is 422060312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7271534 + ... + 7271826.

It is an arithmetic number, because the mean of its divisors is an integer number (21032760).

Almost surely, 22130602240 is an apocalyptic number.

2130602240 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 2130602240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3028717440).

2130602240 is an abundant number, since it is smaller than the sum of its proper divisors (3926832640).

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

2130602240 is a wasteful number, since it uses less digits than its factorization.

2130602240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2130602240 is about 46158.4471142607. The cubic root of 2130602240 is about 1286.7696028802.

Adding to 2130602240 its reverse (422060312), we get a palindrome (2552662552).

The spelling of 2130602240 in words is "two billion, one hundred thirty million, six hundred two thousand, two hundred forty".