2017961120 has 432 divisors, whose sum is σ = 6304531968. Its totient is φ = 606735360.

The previous prime is 2017961117. The next prime is 2017961123. The reversal of 2017961120 is 211697102.

It is an interprime number because it is at equal distance from previous prime (2017961117) and next prime (2017961123).

It is not an unprimeable number, because it can be changed into a prime (2017961123) 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 71 ways as a sum of consecutive naturals, for example, 65095505 + ... + 65095535.

It is an arithmetic number, because the mean of its divisors is an integer number (14593824).

Almost surely, 2^2017961120 is an apocalyptic number.

2017961120 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 2017961120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152265984).

2017961120 is an abundant number, since it is smaller than the sum of its proper divisors (4286570848).

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

2017961120 is a wasteful number, since it uses less digits than its factorization.

2017961120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 29.

The square root of 2017961120 is about 44921.7221397399. The cubic root of 2017961120 is about 1263.6814143943.

The spelling of 2017961120 in words is "two billion, seventeen million, nine hundred sixty-one thousand, one hundred twenty".