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2120499648 = 2635592311
BaseRepresentation
bin111111001100100…
…0100000111000000
312110210002112200000
41332121010013000
513320321442043
6550225400000
7103355643501
oct17631040700
95423075600
102120499648
11998a6a853
124b2199000
1327a417827
141618a4ba8
15c62662d3
hex7e6441c0

2120499648 has 168 divisors, whose sum is σ = 6412748160. Its totient is φ = 694552320.

The previous prime is 2120499643. The next prime is 2120499649. The reversal of 2120499648 is 8469940212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120499643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 916413 + ... + 918723.

It is an arithmetic number, because the mean of its divisors is an integer number (38171120).

Almost surely, 22120499648 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 2120499648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206374080).

2120499648 is an abundant number, since it is smaller than the sum of its proper divisors (4292248512).

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

2120499648 is an equidigital number, since it uses as much as digits as its factorization.

2120499648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2120499648 is about 46048.8832437878. The cubic root of 2120499648 is about 1284.7325717407.

The spelling of 2120499648 in words is "two billion, one hundred twenty million, four hundred ninety-nine thousand, six hundred forty-eight".